This detailed video lecture by MathYug offers a comprehensive guide to mastering Inverse Trigonometric Functions, as covered in Exercise 2.2 of Class 12 NCERT Mathematics (Chapter 2). Aimed at CBSE students preparing for board exams, the session combines conceptual clarity with practical problem-solving.
Overview of the Lecture
00:00:00 Introduction to Inverse Trigonometric Identities
The lecture opens with a concise introduction, emphasizing the role of inverse trigonometric identities in calculus and algebra. The instructor sets the stage for a structured derivation of formulas.
00:03:34 Derivation of All Inverse Trigonometric Identities
This crucial segment walks through the step-by-step derivation of key identities. Each identity is explained with logic and graphical intuition.
NCERT Exercise 2.2 — Step-by-Step Solutions
From 00:15:14 onward, the video meticulously solves each question from Exercise 2.2 of the NCERT textbook:
- Q1 to Q4: Basic application of identities and simplifications.
- Q6 to Q8: Intermediate problems testing transformation of expressions.
- Q5 & Q9 to Q17: More algebraically intensive problems, often involving substitution and domain restrictions.
- Q19 to Q21 & Q18: Higher-order questions combining multiple identities and functions.
Ashish Sir ensures that viewers understand the why behind each step, not just the how, making the session particularly valuable for students aiming to build a strong conceptual foundation.
00:15:14 NCERT Solutions Exercise 2.2 Question 1
00:20:04 NCERT Solutions Exercise 2.2 Question 2
00:21:34 NCERT Solutions Exercise 2.2 Question 3
00:23:44 NCERT Solutions Exercise 2.2 Question 4
00:27:54 NCERT Solutions Exercise 2.2 Question 6
00:34:54 NCERT Solutions Exercise 2.2 Question 7
00:36:24 NCERT Solutions Exercise 2.2 Question 8
00:38:54 NCERT Solutions Exercise 2.2 Question 5
00:42:54 NCERT Solutions Exercise 2.2 Question 9
00:45:44 NCERT Solutions Exercise 2.2 Question 10
00:48:54 NCERT Solutions Exercise 2.2 Question 11
00:50:24 NCERT Solutions Exercise 2.2 Question 12
00:51:04 NCERT Solutions Exercise 2.2 Question 13
00:52:54 NCERT Solutions Exercise 2.2 Question 14
00:54:44 NCERT Solutions Exercise 2.2 Question 15
00:59:54 NCERT Solutions Exercise 2.2 Question 16
01:01:24 NCERT Solutions Exercise 2.2 Question 17
01:03:04 NCERT Solutions Exercise 2.2 Question 19
01:04:24 NCERT Solutions Exercise 2.2 Question 20
01:05:34 NCERT Solutions Exercise 2.2 Question 21
01:07:04 NCERT Solutions Exercise 2.2 Question 18
Key Highlights
- Complete walkthrough of Exercise 2.2, all 21 questions covered.
- Deep explanation of how to derive inverse trigonometric identities.
- Ideal for Class 12 students preparing for CBSE boards or competitive exams like JEE.
- Designed for visual learners with step-by-step blackboard-style instruction.
Additional Resources
To continue learning and get full access to all chapters, assignments, and revision materials, MathYug encourages students to purchase the Class 12 Maths Membership via:
???? https://mathyug.com/class-12-maths