CBSE Class 10 Maths Supplementary Exam 2026 LIVE 🔥 Trigonometry Most Important Questions

Added: 2026-05-15

[00:00:37]Beta, what's the matter, Akshat has come to the class, very good, and all the students who have come, who are the students by the name of UK, hello children, good afternoon, da students, we are going to start the live class of trigonometry of class 10th, and who are the other students, children who are writing hello, the children who have come, da students, quickly write your name and send it, and students, this is also going to be the most recent class for the second attempt of class 10th CBSE, so call your friends also who need this class. Sagar 's offline children who are joining will also write their name and send it at least. Turn down the volume a bit.

[00:02:06]Akshat is great, great, great. Akshat has joined.

[00:02:09]After Akshat, who else has joined? Please tell me a little quickly. There is a trigonometry class. I am going to start the first day. Let's start trigonometry. Children are going to start with basic questions of NCERT. This is especially for those students of Class 10th CBSE who are going to give their second attempt on 15th May. DDA students and those children who are going to appear for the regular session 27 paper. I am going to appear for the last exam next year on 26-27.

[00:02:37]Those children will also be able to study trigonometry from the beginning today. DI students are great.

[00:02:43]Who is this person by the name of Poonam? Good evening. Good evening. Very good children. We are going to start with starting trigonometry.

[00:02:49]Great, great kids. Let's start with the basic concepts of trigonometry with very basic questions.

[00:02:54]So the number of students who have come is very good and more will come. It's a good thing. Welcome children welcome to Sagar Classes. So let's move ahead. Let's start trigonometry from the very basics. Without wasting time.

[00:03:08]Students start their first class in trigonometry. Those students who are joining Sagar's live session for second attempt, DI students, today is 13th. Tomorrow is the 14th. The paper is on 15th only. But in today's date, whoever does not know the basics of trigonometry. I will start from the very basics. I will talk about CBSE previous year questions. And to those students who hope to get good marks after Sagar's live classes.

[00:03:35]Dear students, I will try my best to ensure that you get good marks on 15th.

[00:03:39]So let's start the most important class of trigonometry in which today the children will directly start with the basic question of trigonometry that what is trigonometry?

[00:03:55]What are the formulas of trigonometry? And what are those basic six trigonometry ratios? And today I am assuming that the students who are studying in the second attempt will also get to study from the very basics.

[00:04:07]Even if the class is after two days, you will still get to study from the basics. DI students, so what are those basic three basic six trigonometric ratios of trigonometry? Let's talk about them. So first of all trigonometry is based on triangles.

[00:04:19]What is DI Students based on? It is based on a triangle. Children, we mostly have to talk about right angle triangle here in 10th class.

[00:04:26]So it is your right angle triangle. So this is this triangle is ABC and that is the right angle triangle. DI Students what is a right angle triangle? In which one angle is 90°. Its name is Right Angle Triangle. Is it clear? Does everyone know what a right angle triangle is? What is an angle in which? Is 90°.

[00:04:45]D.A. students. This chapter on trigonometry contains six trigonometric ratios. There are six trigonometric ratios.

[00:04:51]Good evening children. Good evening.

[00:04:53]Akshat is in class. Who is the student named Poonam? At least write your name and send it. And all the new students who are joining this trigonometry session of Sagar, children, welcome to the Sagar Classes. Yes students, please write your name and send it, I will know who all have joined. Very nice, very good, very good.

[00:05:10]Kids, what are the six trigonometric ratios in trigonometry in a right angle triangle?

[00:05:16]I will talk about him today. Kids, what are the trigonometric ratios? Look at this carefully.

[00:05:23]In trigonometry it is sin theta.

[00:05:27]Then there is cos theta, then there is tan theta.

[00:05:33]Children, the next trigonometric ratio is cot theta. When some children used to hear in the ninth class that there are some such trigonometric ratios in trigonometry, they used to get scared as to what are their names. So, don't be scared, I will start from the very basics. The names of the first trigonometric ratios are sin theta, cos theta, tan theta and cot theta.

[00:05:54]Students, I am going to write the formulas through which you will understand the further story. Next is sec theta and the last one of the trigonometric ratios is cosec theta. Dia Student sin theta, cos theta, tan theta, cot theta, sec theta and cosec theta these are the six trigonometric ratios. These are called trigonometric ratios.

[00:06:21]Why are they called ratios? Because these are the ratios of the two sides of the triangle. These are the ratios of the two sides of the triangle.

[00:06:28]DI Students, the side which is 90° is called perpendicular. The one which is base is called base.

[00:06:36]This is called base. And who is this?

[00:06:38]Hypotension. Look carefully at hypotenuse.

[00:06:41]Now we have to talk about what is called sin theta in trigonometry? DI students if this one is angle theta.

[00:06:47]Look carefully. If we have written this angle as theta. Basically what is theta in trigonometry? There is an angle.

[00:06:54]What is theta? There is an angle. Akshat asked me to write my name. Someone is asking my name.

[00:06:58]very nice. There are new students. DI Students, I am your Nilesh Sir, welcome children to the live session of Sagar Classes.

[00:07:04]Children, I have been teaching you Maths for the last 15 years at Sagar Classes. All the students who are studying with me, DI students, you are going to enjoy it a lot.

[00:07:14]I start with trigonometry. Aashi is a student. There is a student by the name of Poonam. Very nice kids. If you do not want to listen to the basic formulas in the second attempt, then listen to them students because only then you will understand the questions well. And the students of new session will give the paper on 27, 26, 27.

[00:07:31]DI students, theirs is a very basic first trigonometry class. So you are very well friend, no problem, nothing. No, I don't know, but hey sir, children, let's not talk about the paper, first we have to talk about trigonometry. Let me first tell you about the formulas of trigonometry and what will come in the paper. So these six are the trigonometric ratios. Is it clear students? Theta here is the angle.

[00:07:54]What is theta? There is an angle.

[00:07:55]Okay, right? So look at the opposite side of the angle very carefully.

[00:07:59]Children studying for the first time. The opposite side of the angle is called perpendicular. What do you say? Perpendicular. The side that is connected to the angle is called the adjacent side. This is called the base and the longest side of the triangle is the hypotenuse. What happens?

[00:08:13]Hypotension.

[00:08:14]Now you look carefully.

[00:08:17]You must have read the formula of sin theta. Perpendicular / hypotensive base / hypotensive.

[00:08:25]Perpendicular/Base. Those who did not remember these flowers in the basic classes, how would those students remember them in the beginning of 10th standard? Look, some people make their own shortcut fools.

[00:08:37]What is PBP and below? HHB watch carefully, I will talk about the children who are studying for the first time, how do those students remember trigonometry, sin theta cos theta see Pandit Badri Prasad har har said sir, which one did he say, which one did Pandit Badri Prasad say, har har said means perpendicular up hypotenuse sin theta is dia students sin theta is the ratio of the perpendicular / hypotenuse second base / hypotenuse is cos theta children who are studying for the first time will pay attention cos theta means base up hypotenuse and the next one is perpendicular up base dia students this is it those lovely children of 10th second attempt who are going to give the second attempt will not panic, they will not think that why sir started basic questions in the compartment dia students after one or two questions we will talk about those previous year questions who are not able to see light properly dia students they might be seeing my face a little bit, my face a little bit black dia Students, but you must be able to see the board clearly and you have to see the board only, you can see my face later also, DI students, compartment students are saying come directly to PYQ, very good, I will directly come to PYQs after two questions, do n't worry, but I have to tell you the basics also because some children personally messaged me that basics are needed sir, please teach the chapters from the beginning, so after joining the last live session, the children whose comments came, whose messages I received, they said teach from the very basics sir, so I am starting from the basics only.

[00:10:10]DI students so perpendicular up hypotenuse sin theta base up hypotenuse cos theta perpendicular up base tan theta DI students if some basic-basic flowers are seen.

[00:10:21]Look, I know that the students who are giving the second attempt have less time and they must be facing these problems.

[00:10:28]But what's the harm in revising it once, friend? Revise it once. tan theta is the reciprocal of cot theta. Do students, tan theta is the reciprocal of cot theta. I'll just tell you five more minutes of fools. I am teaching the question. Don't panic.

[00:10:41]tan theta is the reciprocal of cot theta. tan theta is the reciprocal of cot.

[00:10:44]Reciprocal of cot means that tan and cot are just opposites. If this is Perpendicular Upon Base, who would it be? Say. Base will be perpendicular. Spectacular. very good.

[00:10:54]Now if you are asked sec theta. What should I say? sec theta. DI Students Trigonometry who studies for the first time.

[00:11:04]Maybe or not, he would have faced some trouble. But if compartment students are joining here, second attempt students are joining here. He has no problem. The basics are clear. I will come straight to the question. Previous year but introduction is very important children. sec theta what did I write? sec theta is the reciprocal of cos theta. Meaning cos is opposite, right friend. Who is cos? Here's the base up hypotenuse. So how much will this be?

[00:11:23]Will anyone tell me? How much will the base up hypotension be? will be the hypotenuse/base. Dude, it looks very easy. Isn't it? very good. What to do now? cosec theta. cosec theta is the reciprocal of sinθ or the opposite of sin. The opposite of sin is cosec. Basically, these are the three trigonometric ratios.

[00:11:45]This is the reverse. The opposite happens to them.

[00:11:48]What is the just opposite of sin? What will happen to the children if cosec? Tell me what will happen? h/p Now I will ask a direct question. I will take one NCERT question and then move on to previous year questions. All the students who are joining Sagar's live session for the first time.

[00:12:05]Someone is saying that you have two days, teach something that will be fun and will come in the paper, children will enjoy it, but first the basics, then one question from NCERT and I will directly reach the previous year.

[00:12:18]I am teaching those students who are studying trigonometry for the first time and also those who have to appear for CBSE compartment paper or improvement paper after two days. Children, if for some reason we are not able to score marks in the first attempt, do not panic, do not be afraid, marks will come but the basics will support us because if we know the concept then we can solve any question. If I take a basic question, see the third of 8.1, I am doing it in the beginning, so I can do it with just one basic question.

[00:12:53]What is? sinθ is equal to given 3/4, you can see it in the book, those students who have NCERT, just after this question I will go directly to the previous year question, for compartment children, D.A. students sin theta is 3/4, it is written in the question then find then find, children those students who are sitting with the book should see what all has to be found cos theta and tan theta theta, D.A.

[00:13:25]A is written in the students book, so if you want sir to write A, then sir can write A. Sir has no problem in writing A. Anyway, triangle is represented by ABC and we also represent angles.

[00:13:39]We also represent theta.

[00:13:40]So DI students please watch it very carefully.

[00:13:43]sin A is given 3/4 I need to find cos A and tan A.

[00:13:46]Okay, right? How do we find these values?

[00:13:49]Such questions come in CBSE papers in one mark to two marks. This is a very basic question. Then I am going to CBSE previous year.

[00:13:54]By the way, I want to know the names of all the children who have joined the class live till now. Akshat is in class right now. And who are the children who are live in the class right now, I should at least know their names who are studying with me.

[00:14:09]Children, please watch sin a carefully.

[00:14:13]What is sin a? 3/4 Now those who do not know the ABCD of trigonometry, look carefully, if you do not know ABCD, look it is ABC only, I am talking about D, triangle ABC is formed, you look carefully, sin theta, what have I read, it is perpendicular upon hypotenuse, perpendicular upon hypotenuse, if this is perpendicular up hypotenuse, then remember that the opposite side of the angle is perpendicular. What is the opposite side of an angle? Perpendicular. What does it mean to be perpendicular? It is three. So what is the front side of a? It is three. But do n't take three because it is not a perfect length. It is a ratio. It is a ratio. So you have K. So what is this perpendicularity? What is front 3k base hypotension kids? Hypotension then 4K. What is hypotension? What is the longest side?

[00:15:00]Longest side. So what will happen to this? 4k.

[00:15:03]Should I believe that everyone understood this triangle so well? Did you understand? If A is written then the perpendicular in front of the angle.

[00:15:09]sin theta is perpendicular upon the hypotenuse. The same front is perpendicular and longest side hypotenuse children I need base.

[00:15:16]Who needs it? There is a need for a base. Those new students who are joining.

[00:15:20]Welcome to Sagar, children, human human, I am able to understand what you are saying. You believe that the paper is after two days. Sir, basic concepts will have to be cleared in the children app. We will have to ask one mark questions. We will go directly to CBSE previous year.

[00:15:34]In the next question, let's start asking a little bit. And all the other students who are joining Sagar.

[00:15:39]Very nice kids. In triangle ABC In triangle ABC Now we apply Pythagoras theorem. Children, you must have heard it. You must have heard the name of Pythagoras Theorem.

[00:15:55]PGT children, if you have heard the name of Pythagoras, then what was Pythagoras theorem? Someone tell me. ab² + speaking is allowed. ab² + bc² = ac² Some kids are sitting with me offline. There is no harm. If they also learn, understand and speak. No problem. ab² + bc² = ac² Kids, I have to find ab. clear? AB has to be found.

[00:16:23]How much BC do I have? I need to find ab. No sir. Now it is given.

[00:16:28]How much is ab in the question? I am talking about 3K absolutely basic questions.

[00:16:33]What is BC in question? BC I have to find.

[00:16:37]What is the AC in question? The AC is 4K. Is it clear DI students? I am asking a very basic question. In the next question I will move on to previous year questions of Trigonometry. What happened to 3k²?

[00:16:49]9k² + bc² = 16k² I understand that some compartment students may have objection that why should we go directly to CBSE previous year so basic, but there was problem with basic. That is why the matter got messed up and I have to go to the 15th off paper. So if sir is helping you and clearing the basic concepts and then going to the previous year, then what is the harm in it. Please read it, friend, please read it. What to do now? BC² = 16k² - 9k² Okay friend, what is 16 - 9? Do you understand how much it will be? If we subtract the square root from 7k², it will become 7. But if a square is applied here then the root will be cancelled by the square. 7k so dia students if I removed this 7k. I have withdrawn 7k. I have withdrawn 7k. So now please see carefully that I have taken out BC.

[00:17:49]BC So I found it. But I was told sir to find cos A.

[00:17:54]Find tan A. Look at cos A and tan A carefully. Those who are studying trigonometry for the first time will also not feel nervous at all. If you ask honestly. Are you understanding? Are you understanding? Are you understanding? Are you getting here? He must be coming. He must be coming for sure. Look what is cos a and tan a sir? Write a in place of theta. It doesn't matter. These are written as cos a tan a. How much is cos a?

[00:18:22]Say. cos a cos a is the base/ hypotenuse.

[00:18:28]Tan a is perpendicular up base.

[00:18:34]Okay kids? One thing to note is that the base will run according to the angle. Angle a is this. If there is an angle then who will be the base? This will be perpendicular to the angle. This will be the base. How much base should I take? Say. Speak up.

[00:18:46]How much base should I take?

[00:18:49]How much to take hypotenuse of 7? The hypotenuse is 4k. Kids K to K got cancelled. 7 / 4 is your answer. 7/4 is the answer.

[00:18:59]In CBSE, such questions come in one mark to two marks. Do it carefully.

[00:19:03]And now let's come to new questions.

[00:19:05]And please like it all. What is the matter? What is the matter. Very nice DI students.

[00:19:11]What's wrong with liking it? Keep liking, keep reading, keep learning, keep understanding and you will definitely get your marks on 15th. very good.

[00:19:18]What is there to do in tan a? tan a perpendicular di a students angle is perpendicular to the side opposite to a.

[00:19:22]How much is it? Say. Speaking is allowed.

[00:19:27]What is 3k base? This is the base that I have found.

[00:19:30]7 of 7k DI students 7k and now when I am cancelling k to k then my answer has come 3/7 did you understand, you must have understood it completely, very good DI students those who want to copy, you will get the PDF to copy, but right now I am moving ahead, right now I am moving ahead, it is okay, you will get it to copy, there is no issue, right now I am moving ahead, there is shortage of time, move ahead, do not stop. Have to keep moving forward. Ok? And DAA students coming directly to CBSE previous year. More compartment students have arrived who have to appear for the exam on 15th. So now Nilesh Sir is in front of you. Children, now I will ask you only those questions which are important for you and which you will have to answer on the 15th.

[00:20:19]Well, in such a long class, the children who are studying trigonometry for the first time would have understood what the story is. Dear students, now I will write the trigonometry question which is from CBSE previous year part. And I have in front of me the question which is from paper 24. It is of paper 24. Look carefully at the question of paper 24 which came in CBSE, it was written in it if 5 tanθ = 12 5 tanθ - 12 = 0 5 tanθ - 12 = 0 then find sinθ.

[00:21:04]Students, the questions of Trigonometry which are coming in CBSE for one mark or two marks should not be made wrong even by mistake.

[00:21:12]If we get such simple questions wrong then what will be right for us? 5 tan theta - 12 = 0 Children have asked sin theta.

[00:21:20]Question 24 of CBSE paper is written on the board.

[00:21:23]DI Students who want to go through previous year questions.

[00:21:25]I have started it and those new students who are going to appear for the exam next year will definitely understand it.

[00:21:32]See what to do. It is written in the question 5 tanθ - 12 = 0 children, what does it become 5 tanθ equal to, yi students transpose it, it becomes 12, you understand, 12 becomes tan theta equal to 12 divided by 5, it is clear sir, it is clear, I have not studied identities yet, that is why I will not find sin theta with the help of identities, I will find it from the triangle, from where will I find it, from the triangle, look children carefully, if I write this angle as theta. Now look, I have removed the flowers from the board. But for those students who do not have the formula in their mind, then tan theta is perpendicular up base. DI Students is perpendicular up base. So you have to remember that if this is perpendicular up base. If this triangle is perpendicular upon base, then who would like to tell who will be perpendicular? The angle opposite the angle will be perpendicular. So this is 12K. Please watch carefully so that the students do not make any mistake. I should get marks in the paper. Every mark is important. Every mark is important in the paper.

[00:22:45]Therefore, do not take it lightly that sir is asking easy questions. We will move on to more difficult questions.

[00:22:49]But easy questions will also have to be attempted in the paper. Look kids, why are you spending 12k? Pay attention to this.

[00:22:56]This is the ratio of perpendicular to base. There is no length. There is no perpendicular 12.

[00:23:01]Base five is not. Its ratio is.

[00:23:03]What is? Ratio. So we have to do K.

[00:23:05]Perpendicular turned 12. What should the children bring to Bess?

[00:23:09]Remember this is hypotenuse. We will be able to find the hypotenuse only from Pythagoras. You will be able to find it only from Pythagoras. I am saying again and again that if the child who is giving compartment does not have basics. I have not put much effort into trigonometry.

[00:23:21]It is just going to be cleared in today's class.

[00:23:22]So what should DI students do now?

[00:23:27]What should be applied to these triangles abc? That is the only theorem PGT Pythagoras Theorem, you must have heard its name, Pythagoras Theorem ab² + bc² = ac² has children ab 12. I am asking a little or a complete question.

[00:23:44]Those who have speed, those who know. How to do it? How is running? How to do it? very good thing.

[00:23:53]Many many congratulations. You know it very well and quickly, you can do it. You also have to complete the paper in 3 hours. But some children have joined the new session with me.

[00:24:00]Those who have to appear for next year's exam. So I am teaching them the very basics and I have to teach the children in the compartment, what is the square of 12? It is 144.

[00:24:11]What is the square of 12? It is 25.

[00:24:15]DI students, all the new children who are joining this live session of Sagar Classes, welcome to Sagar Classes. DI Students, I am Nilesh.

[00:24:24]I have been teaching Maths for the last 15 years. My students have come to this session with marks up to 100 by 100.

[00:24:28]You will also get good marks. Just keep reading.

[00:24:33]Tell me what to do? How much will this be?

[00:24:38]How much will 169 become? 169 But Dea students remove the square. Route will be taken. See, now I will also tell you some questions in short method for MCQs. But what do you have to do? Have to remain. Have to learn, have to understand. DI Students I removed the square. Rooted. Now tell me what is the route of 169, sir? Plus minus is 13. Take only positive length, do not take negative length. Now the square root of p cancels out. 13k arrived.

[00:25:02]DI students 13k arrived. I have given this answer 13k students, do you have any doubt? Do you understand? Now after 13k you were told sir find out sin theta. What to take out? Friend, with the help of tan theta, I removed the third side from the two sides given. Now I can calculate all the trigonometric ratios. I can take them all out. But only sin theta has been asked in the question. What have you asked? sin theta. For those who do not have the formula clear for sin theta, I am getting it revised again and again. sin theta is perpendicular up hypotenuse. Please remember it so that your confusion ends completely. Okay, right?

[00:25:42]I wrote the formulas myself. I am just showing it.

[00:25:44]Perpendicular upon, I hope you are understanding it completely. The new children and the compartment children are completely clear about it, they are able to understand it, there is no problem. Do students yes sir yes sir yes sir write in chat. I will understand how much fun the students are having. It feels so good. The audio is clear.

[00:26:07]The video is clear. I am also looking a little bit. The board looks good too. Yes sir. Sir yes sir will reply to me da students very good nice Arpit Arpit very good Arpit Jai Shree Ram Jai Shree Ram who is he brother Shivsh very good Shivsh there was a student today 12th class was live in noon a 10th class student was joining who was the 10th class student who was joining 12th class today in noon who said that I want to study trigonometry in my live class he was saying 12th, did he join da students who is that student yes sir yes sir very good very good which of you students can write his name and send it who was in my 12th live class and he said that I want to study trigonometry sir I want to study trigonometry from the very basics when will the class start who is he brother yes sir yes sir what's the matter what's the matter very good children the summer season in Indore is very high people are facing the heat in India.

[00:27:16]But we should not be burdened with paper. Do n't be burdened with difficult questions. Arpit Arpit Arpit good nice Arpit very good.

[00:27:26]I hope Arpit you heard me. You are welcome to join this live class at 4:00 pm. I am very happy.

[00:27:32]Very good children. Let us move ahead without wasting time and may your paper go well on 15th. And the children of 27 who have joined, 27 means the year of 27, they will give the exam in the last year, they will give the exam in the match, all those children should also get good marks, D.A. students, sin theta is perpendicular up hypotenuse, perpendicular up hypotenuse, children, what is perpendicular, what is the perpendicular in front of the angle, this is the hypotenuse of 12, what is hypotenuse, what is hypotenuse, so D.A. students, your answer is 12/13, 12/13 is it clear, D.A. students, you must have understood, everyone must have understood, very good, very good, very good, what a thing, who is it, who is it brother, who is it, who is this, [ __ ] Pinky, who is it, you will see, D.A.

[00:28:30]students, those who want to talk about important things in the chat, if real, those children who have to give the paper on 15th and join Sagar's live session, D.A. students, you will get good marks. Your concepts will be clear. I am going to previous year questions. It is very wrong not to pass time. time passing. Anyway, it is summer time. If you pass too much time, things will go wrong.

[00:28:49]Now we have to move to a new question and start new questions.

[00:28:54]CBSE starts with previous year new questions. DI students, see how to solve this very important and unique question?

[00:29:07]If tanθ = tanθ = 5/12 5 /1 when find sinθ + cos theta and divide by sinθ - cos theta DI Students what does any student do after seeing this question, he starts finding sin theta cos theta with the help of tan theta and when its sin theta cos theta comes DI Students all the new students who are joining Sagar Classes, a very warm welcome children, welcome children, the science paper is on 18th, you have to study science also children today I am talking about maths, the paper is on 15th, I am equally worried about the science paper in science also in Sagar Classes, expert teachers of physics, chemistry and biology will teach you, don't be so scared. But let's talk about maths today. They also leave science aside. Let's just talk about maths. Now that's tan theta given to me. Normally, some students find sin theta cos theta with the help of tan theta by making a big triangle and then put it. Look, today I will go straight from tan theta to the value of sin theta cos theta without triangle.

[00:30:24]I won't need to make a triangle. Use your brain a little and ask questions.

[00:30:29]See what I have to take out? sin theta + cos theta, see, it has to be done according to time.

[00:30:37]We have to act according to the weightage of the question. So what should the students do? Thank you. Thank you. What's your name?

[00:30:44]Asking my name is asking the kids to chat.

[00:30:46]Children, let me talk about myself, I Nilesh Sir am teaching you. You should also keep introducing yourself. Keep doing everything.

[00:30:52]But here only children focus on studies. sin theta + cos theta is sinθ - cos theta. I need to find tan theta. What to remove?

[00:31:00]tan theta. Given tanθ, this has to be calculated with the help of tanθ, so children, I am not going to do sin cos by making a triangle.

[00:31:09]I know, I know, these two flowers are so useful flowers of 10th anth trigonometry that if I talk about important flowers, there is no comparison. sinθ / cos theta is tan theta and the second is cot theta. This is the ratio reciprocal of tanθ cosθ / sinθ d.

[00:31:34]So remember that tan theta of sin theta / cos theta is equal to so what I will do is I will divide the numerator by cos theta, I will divide the entire numerator by cos theta and the entire denominator by cos theta. If anyone wants to tell me why I selected cos theta only, this will get cancelled, this will get cancelled by any quantity.

[00:32:01]In maths, if you divide the entire numerator, divide the entire denominator, there is no change, there is no change, meaning you did not do anything different, you divided above by cos, you divided below by cos, but the benefit of dividing by cos is this: what did sinθ / cos theta become? tanθ + 1. What did sinθ / cos theta become?

[00:32:23]Children, I have its values.

[00:32:26]Look, this is the value of tan theta. I did n't have to go to sin cos. Simply convert sin cos to tan. Children, what will you write in place of tan theta, 5/12? 5 /1 + 1 What will you write below? We will take the LCM of 5 / 1 - 1 in place of tan theta.

[00:32:44]See how to take LCM? Don't do wrong.

[00:32:46]LCM will come out to be 12 numerator. Then if it is crossed then it will become 5 + say 12, the LCM of the denominator is 12, then cross it 5 - 12, tell me what will come when you reciprocate this, 17 /1, okay what will it become here -7 - / 12, then cross it and reciprocate it, then 17 /1 * 12 / -7, this will cancel out. Will put it in the minus numerator. 17 / 7 Answer should come DI students. -17/7 CBSE Previous Year Question Paper of 2023 Paper I have done it on board.

[00:33:33]What is the matter? I understand. Spectacular. I understand. very good. very good. very nice. Who is the student named Madhav?

[00:33:40]Madhav. very good. Great, great, great.

[00:33:45]Spectacular. Sir, all the new students who are joining the live session of Sagar Classes, welcome to the Sagar Classes. Dear students, I am Nilesh Sir, who has studied in Maths for the last 15 years and needs help in Maths, you are also that student who needs my help, your class today and tomorrow is going to be very beneficial for you, you are going to get good marks on 15th. Pay attention to the methods.

[00:34:06]Pay attention to these tricks and then ask questions. You will see how easily we will understand trigonometry without spending much energy.

[00:34:13]And the fear of trigonometry will end. So do n't be afraid of trigonometry, do it. I am saying another good thing. You will feel lazy and sleepy during the summer season but you should not let it happen. Don't let him come.

[00:34:31]Because when we will be doing the paper on 15th, if we feel lazy children. How could you do it? How will you be able to do it? Let's drive away the sushi, awaken the energy and keep studying, keep moving forward.

[00:34:53]Even in the student setting, it should feel like all those good students of class 10th who are studying Sagar are with me today. So DDA students please give a like. To all my friends who really need this class.

[00:35:07]If you feel that there is a need after saying it for so long then call them also. Get them to join as well. If he is not able to do it today then tomorrow again there will be a live class and I will be live again at 4:00 pm.

[00:35:16]Again you continue this chapter of Trigonometry, I will tell you most of the predicted questions and also the predicted questions of other chapters. Please join tomorrow also at 4:00 pm.

[00:35:25]DI students if you want you can study tomorrow also. You may get good questions in the science paper also.

[00:35:31]You will also get good lectures in the upcoming sessions of classes 11th and 12th. DI students please subscribe to the channel.

[00:35:37]And some more important questions if you need them. If you feel that my problem is not getting solved right now, then I am writing my number on the screen 9302, you can call me, you can message me, I will answer all of them one to one, okay kids, let's move ahead, DI Students -17/7 is the answer and with a new question, now we will go ahead in Trigonometry, previous year questions, DI Students, after the first exercise, now comes the turn of the second exercise.

[00:36:12]But I will do another question from the compartment paper of 2020.

[00:36:18]I will do the question of compartment paper of 2020.

[00:36:20]D.A Student Compartment is now required for 2020. See, the question is if sinθ = tan find tan² theta + cot², it is a matter of great happiness for those children who already know this question.

[00:36:54]Many many congratulations. If you know, you will get the number just like that. But I have to provide it to everyone who needs it and who doesn't know it.

[00:37:01]So understand it calmly.

[00:37:04]Understand it with your mind. You don't have to think too much. You have to apply less.

[00:37:11]Look at the question. Children, sinθ equals sinθ equals. See, if we had studied the trigonometry table, these questions would have become easier. Like, tomorrow I will teach you the trigonometry table, then these questions will become very easy, but today since I don't have the trigonometry table, I will try the questions without the trigonometry table. See, I divide the side by cos. Why divide by cos? I want to get tan, friend. What to make? To find tan, I divide both sides by cos once again.

[00:37:44]Look carefully brother, whoever is not able to see the board clearly, I will not take anyone's name.

[00:37:49]Focus on the board. We have to divide by cos.

[00:37:53]What is this, we have to divide everything by cos, friend? Someone tell me what I have to divide by cos. You do n't have to do it. This becomes tan theta. This became a forest. What happened? One is one, right? And whose value do I have to extract? I have to find tan² theta + cot tan² theta plus look carefully dear students, I have to find the value of tan² theta plus cot² theta. All the new students who are joining the Sagar Classes channel.

[00:38:27]What is the matter. What is the matter. There are two out of country students. Hey hey what's the matter. I am able to understand from the language. I am able to understand. I am able to understand. No problem. Ok. Ok. Rational number, rational number, man. Okay, right? Many videos by students Many videos Sagar Many more videos are available on this YouTube channel. If you want, you can watch the complete videos of Linear Equation Three Variable.

[00:38:50]Polynomials are available. And some solutions of most of the trigonometry questions which will come in the exam are available.

[00:38:56]You will see.

[00:38:59]If I work in proportion to the time we have, you can see how much I am able to teach in proportion to that time.

[00:39:05]Rest you can talk to me by calling me. I will meet you live again tomorrow from 4 to 5. Please look at this question carefully and those DI students whose answer has come before me, please send me the answer of this question quickly in the chat.

[00:39:21]Quickly, quickly, quickly.

[00:39:24]What was the answer to this question?

[00:39:27]Who found the answer to this question?

[00:39:31]taught cot theta. 1 / tan theta. What did cot theta teach? 1 / tan theta squared.

[00:39:41]tan² is applied. Now tell me tan theta so sir removed one. What did you remove? Forest removed. You have to focus on the board only.

[00:39:52]This day is very important.

[00:39:55]When the paper is in front of us, the sir is in front of us, the questions are in front of us and we are finding it difficult to read. It is wrong. The value of tan theta is one, so 1².

[00:40:06]Here also the value of tan theta is one, so the square of 1.

[00:40:09]Well, the square of 1 is one.

[00:40:11]So dear students, the answer is 1 + 1 2. And if someone else sees it, it is wrong.

[00:40:18]No one replied in the chat. Should have answered.

[00:40:20]No problem. How long will the class last?

[00:40:25]Wow, what a thing. Class timing is from 4 to 5. It will take only 4 to 5 today. It will be again tomorrow from 4 to 5. But tomorrow after 4:00 to 5:00, if students need more in the late evening. If there is difficulty in any chapter, then there will be class again from 8:00 to 9:00 in the night.

[00:40:42]Tomorrow. There will definitely be a trigonometry class tomorrow from 4:00 to 5:00.

[00:40:44]Some important questions, some important topics which you will tell me today by commenting, which you will tell me by messaging, if you are finding any chapter difficult, dear students, then tell me by commenting. You have to understand the most important questions of this chapter, please tell me. Tomorrow there will be trigonometry from 4 to 5. There may be a live class for you again tomorrow evening from 8 to 9:00 pm.

[00:41:09]DI students.

[00:41:11]Ok?

[00:41:12]So now I will move ahead with more questions.

[00:41:14]I got the answer to this question.

[00:41:16]I was able to study only trigonometric ratios of 10th Trigonometry today. But tomorrow I will teach you the second exercise which is called Trigonometric Angles 30° 45° 60°. The last exercise tomorrow is called Trigonometric Identities. I will teach DI students. Meaning, you will learn so much about Trigonometry in tomorrow's class from 4 to 5, for which we studied the whole year, just two days of class, which means tomorrow 's class is more important than today's class, do not miss tomorrow's class, if you have not subscribed to the channel then do it so that you get notifications and you can join quickly, coming to the next question.

[00:41:56]Coming to the next question, DI students, we have a great question in front of us. This is a great question. DI students, if all of you are understanding the questions asked by me.

[00:42:10]Okay, there is no problem DI students, so yes sir, yes sir, yes sir, you will message me in chat, son, who is the PYQs manam, who is the best, brother, tell me, I had told you the name of Arpit, Arpit Arpit Arpit son, I taught you trigonometric ratio. I am taking PYQs related to trigonometric ratios. Tomorrow I will do the PYQs for that when I talk about trigonometric angles, trigonometric angles and I will do the PYQs for that tomorrow when I talk about trigonometric identities. I will not do it today.

[00:42:56]Arpit, students will have to wait till tomorrow.

[00:42:58]Children, next the students move on to another important question. Let's move on to another important question.

[00:43:06]DI Students, it is hoped that all those children who are studying trigonometry for the first time would also be able to understand it to the maximum. While children also say a complete yes to another question, students also ask. Let's do one more question.

[00:43:37]Present is early.

[00:43:40]5 Minutes Do Students Who isn't in a hurry?

[00:43:44]Everyone is in a hurry. But since you also have to appear for the exam on 15th, do n't be in too much hurry. Dear students, you have today to study the formulas thoroughly.

[00:43:55]Today you should revise the formulas comfortably.

[00:43:56]Revise the concept. Join me live tomorrow. If needed, join us live tomorrow night.

[00:44:01]You will come back after doing a good paper the day after tomorrow. Only then will I be very happy, DI students. And now I ask one more question.

[00:44:07]Then you can see whatever you have to do according to your needs. I ask a question.

[00:44:13]Okay, right?

[00:44:19]tanθ + cotθ = 6 DI Students, please look at it a little, I am also asking questions on trigonometric ratios.

[00:44:41]What I am going to teach in this class tomorrow is questions related to the next exercise like trigonometric. But I want you to solve the basic NCERT questions tomorrow as they are very difficult because the paper is the day after tomorrow. Tomorrow in this class I will be teaching four to five questions on trigonometric angles and trigonometric identities to students. So don't do it in tomorrow's class.

[00:45:05]So let's move ahead and now any of you students who are able to solve this question, please try it yourself. Above also angle a will be given. If the bottom angle is a. If there is a here, there will be a above also. What is the students tan a then? tan a + cot a tan a + cot a is equal to what in the question? It is 6.

[00:45:35]Children, look at this question carefully. This may be the last question for today.

[00:45:39]DI Students, if I tell you about myself, I Nilesh Sir have been teaching Math in Sagar Classes for the last 15 years. You got a chance to read it today. Hope you had a lot of fun. It must have felt great. If you liked it then please comment. Subscribe to the channel and see you again tomorrow at 4:00.

[00:45:54]But please do this question. Isn't it? This is very important. What is the plan?

[00:45:58]tan a tan a + cot a = 6a ok now what do I need square what do I need dia students the method of squaring is not that you just square it squaring is always a hole square in trigonometrics what is a hole square in between how long will the class go on it will end at 5:00 and now to whom so many more messages Arpit I am able to understand what you are saying you can message me one to one there is no problem there is voice problem in between children it will not happen tomorrow. It won't happen tomorrow. There will be some technical problems today. It wo n't happen tomorrow. Is it okay, Arpit? Excellent.

[00:46:32]Great kids I want square. What do you want? I need a square. So I square the hole. Did Mahir join the class today, Mahir? What is the expert in the class? Expert expert.

[00:46:47]Mahir and Meher Mahir and Meher are in the class so type yes sir.

[00:46:54]Mahir and Mehar have children tan a + cot a = 6. Although there will be more online classes of Sagar in the coming days but they will be based on Sagar's applications. Today there are live pre-classes on YouTube because I am concerned about the compartment children and I have to teach them. Otherwise Sagar's live classes will be on Sagar's application. All our existing children who are watching this live, if Sagar's live classes are conducted online in the coming days, then it will be on Sagar's channel only.

[00:47:25]What should the basic students do, children?

[00:47:28]Nothing, nothing different to do. This is the basic. This is the standard.

[00:47:33]I have explained the formula concepts. This time also I will say something better.

[00:47:35]Those who are afraid of the basic paper, they should not be afraid in the first attempt.

[00:47:39]Maximum questions were NCERT based. But yes, it was a little different from expectations. So those who were basic got scared. There is no need to be afraid now.

[00:47:45]Do NCERT honestly but do the examples carefully. And I am telling you many more things. So you do that.

[00:47:50]After this question I will end the class. But yes, I will meet you again tomorrow, DI students, I have done squaring both sides, what will happen here, a², here it will become b², a + b² formula a² + b² + 2ab 2ab, well, there are many students who have problems with the basics, they omit 2ab.

[00:48:17]Hey, this doesn't happen.

[00:48:18]a + b² is a² + b² + 2ab. Clear? What to do now? This is tan² + cot² + 2 tan a. So what did you just learn? What is cot? It is reciprocal of tan. So what should I write cot as 1 / tan a cot? 1 / tan a is okay? Ok? There's no problem, child. There is no problem for new students. Be it basic or standard, there is no problem.

[00:48:46]Keep reading, keep moving forward and keep smiling.

[00:48:49]You will get good marks in the paper. This is what I am expecting from the students. This makes it 36. What to do now? Ye to ye tan a to tan a canceled out. What has become of this? tan² a this becomes cot² a this becomes 36. If this two is transposed then it becomes two.

[00:49:10]Now look quickly.

[00:49:15]What did Sir find the value of tan² a + cot² a?

[00:49:18]What did DI students sir do? Well, some people want to know which paper I am conducting sir.

[00:49:22]Sir, the question of 2025 paper is being done on the board. DI students, 2025 paper 34 answer came. Is this the answer? 9 no 9 no 9 no 9 no 9 no 9 no 9 no 9 no 9 no 99 no 9 no 9 no 9 no 9 no 9 no 99 no I told you to find the value of tan² a + cot² a - 4. So DI students, please tell me what value of tan² a + cot² a did sir find.

[00:49:49]34 What did you take out? So this is 34. What should I do with this four? Make it a minus, kids. This is your answer.

[00:50:00]The answer is 30. This is the two marks question which came in the 2025 paper. For DI students, even one mark is important, two marks are also important. But in tomorrow's class there will be some case studies, some unique questions which are predicted questions which seem like they will definitely come in the paper the day after tomorrow, please read them. See you again in 4 to 5, DI students.

[00:50:20]Thank you dia students. You joined today's live session. Thank you children. Bye kids.