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ICSE Class 10 Mathematics Revision Notes Chapter 21 - Trigonometrical Identities

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Last updated date: 23rd Apr 2024
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Revision Notes for ICSE Class 10 Math Chapter 21 - Free PDF Download

As one of the most important pieces of study material that students can receive, ICSE Class 10 Maths Chapter 21 Revision Notes will assist students to study in the most effective manner and reduce the level of stress that students experience during a busy school year.


For each chapter of the ICSE board exam, Vedantu provides the Revision Notes and Keynotes in easy-to-understand, free downloadable PDF format, so students can use them for their study and score better. Revision notes for Science and Mathematics are provided for ICSE Class 10. It is vital for students to take these core subjects since they serve as stepping stones and impact their future. Students may find these subjects challenging. They will be able to get an expert studying pattern with the ICSE Class 10 Maths Revision Notes for each chapter, which will be a great way to learn the subject and perform better in the exams.


These NCERT 2024-25 Chapter 21 Revision Notes are designed to match the NCERT 2024-25 Exam Pattern and Syllabus for ICSE Class 10 Maths. To prepare for the upcoming examination, students can study the free PDF and practice the questions


 In the revision notes, we will prove trigonometric identities using more problems. As it forms the foundation of higher-level mathematics, it is recommended that students build a strong understanding of the concepts. In addition to clarifying doubts and developing confidence in solving problems, the Revision Notes for Class 10 Maths can also provide students with accurate information. For Class 10 Maths Chapter 21 Trigonometric Identities Exercise 21(B), revision notes are available in PDF format. 

Competitive Exams after 12th Science

FAQs on ICSE Class 10 Mathematics Revision Notes Chapter 21 - Trigonometrical Identities

1. Following concepts taught in class 10 ICSE Maths Chapter 21, show that

= sin A cos A – sin 3 A cos A – cos 3 A sin A

= sin A cos A – sin A cos A (sin2 A + cos2 A)

= sin A cos A – sin A cos A (1)   [[Since, sin2 A + cos2 A = 1]]

= 0 

2. Following concepts taught in class 10 ICSE Maths Chapter 21, solve this: (sin A + cosec A)2 + (cos A + sec A)2 = 7 + tan2 A + cot2 A

L.H.S. = (sin A + cosecA)2 + (cosA+ secA)2

= sin2 A + cosec2 A + 2 sin A cosec A + cos2 A + sec2 A + 2 cos A sec A

= sin2 A+cosec2 A+2 sin A x 

1/sinA + cos2 A+sec2A + 2cosA x 1/cosA


= sin2A + cos2 A + cosec2 A + sec2A+ 2 + 2   (∵ sin2 A + cos2A= 1)

= 1 +cosec2A + sec2A + 4

= (1 + cot2 A) + (1 + tan2 A) + 5   [[∵ cosec 2A = 1 + cot2 A and sec2 A = 1 + tan2A]]

= 1 + cot2 A + 1 + tan2 A + 5

= 7 + tan2A + cot2A = R.H.S.

3. How and where can I obtain some tricks and tips so that I can get high marks in ICSE Mathematics in class 10?

There are some tips contained in this article that can help you score excellent marks in class 10 Maths for ICSE:


1. The requirement for every student to have access to a textbook that covers the entire syllabus for Class 10 Mathematics is vital. In addition to providing students with economic concepts, ICSE Book solutions can also assist them in understanding them more comprehensively.


2. So that you can recall the definitions easily during the examination, you should memorize and understand them quickly. It is imperative that you understand the meanings of each concept and have a good understanding of each definition. At the same time, make sure you understand the topic and concept, as well as the reasons behind them. It's important to establish that concepts have been derived from theories. The key to solving the problem quickly is to become familiar with each.

4. How is self-study from revision notes important if you want to succeed in class 10 ICSE mathematics?

The following ways for self-study from revision notes can be useful if you want to succeed in mathematics: 


1.When you study on your own, it gives you the focus you need to excel in math. You will be able to focus on all the key aspects of the chapter that might otherwise get missed at the time when reading the chapter.


2. By self-study, you can understand each and every tough concept in Mathematics as you are practicing the questions by yourself, you are solving the doubts easily.

5. What is the best way to prepare for Chapter 21 - Trigonometric Identities Class 10 Mathematics?

For Chapter 21 - Trigonometric Identities Class 10 Mathematics, use these study points:

  1. The first and most important thing you should do when you are preparing for  Trigonometric Identities is to understand the details of the topic that has been explained.

  2. Finding out the relevant information in the question tends to be the key to understanding a trigonometric equation

  3. You will learn the topics much better if you take notes of the important elements of their presentation.

  4. For a detailed understanding of this topic, you might consult Vedantu directly.