Class 12 Maths Ex 2.2 Q1 | Inverse Trigonometric Functions | NCERT Solutions

In this video, we will solve *Class 12 Maths Chapter 2 Exercise 2.2 Question 1 – Inverse Trigonometric Functions* from NCERT Mathematics. This video provides a simple, clear, and step-by-step solution to help students understand the concept and learn how to prove inverse trigonometric identities effectively. 📚 *Class 12 Maths | Chapter 2: Inverse Trigonometric Functions | Exercise 2.2 Question 1 | NCERT Solutions* In this question, we have to prove the following identity: 3 sin⁻¹ x = sin⁻¹(3x − 4x³), where x ∈ [−1/2, 1/2]. The solution uses the important triple-angle identity of sine and the substitution x = sin θ. By following the steps explained in the video, you will understand how to simplify the given expression and prove the required identity correctly. *Topics Covered in This Video:* ✅ Class 12 Mathematics Chapter 2 ✅ Inverse Trigonometric Functions ✅ Exercise 2.2 Question 1 solution ✅ NCERT Class 12 Maths solutions ✅ Proof of inverse trigonometric identities ✅ Triple-angle formula of sine ✅ Substitution method in trigonometry ✅ Principal value and domain restrictions ✅ Step-by-step mathematical proof *Why Should You Watch This Video?* If you are preparing for your Class 12 Mathematics examination, this video will help you understand the method used to solve Question 1 of Exercise 2.2. The explanation focuses on the mathematical identity, the appropriate substitution, and the importance of the given interval. This video is useful for CBSE Class 12 students and learners following the NCERT Mathematics textbook. It can also help you revise important concepts from inverse trigonometric functions before your school examinations and board exams. *About Chapter 2 – Inverse Trigonometric Functions* Inverse trigonometric functions are an important topic in Class 12 Mathematics. This chapter covers inverse sine, inverse cosine, inverse tangent, principal values, domains, ranges, and identities involving inverse trigonometric expressions. Understanding these concepts is essential for solving NCERT exercises accurately. On the Pie Factor channel, you can learn Mathematics through clear explanations and exercise-wise solutions designed to make difficult questions easier to understand. 📌 *Watch More Class 12 Maths Videos* Explore more NCERT solutions, exercise-wise explanations, important questions, and step-by-step mathematical proofs on Pie Factor. If this video helps you, please *LIKE the video, SHARE it with your classmates, and SUBSCRIBE to Pie Factor* for more Class 12 Mathematics tutorials. Turn on notifications so you do not miss upcoming videos covering NCERT exercises and important Mathematics concepts. #class12maths #inversetrigonometricfunctions #ncertsolutions #exercise22 Timestamps for the 3:00 Video 0:00 : Introduction to Exercise 2.2 Question 1 0:15 : Understanding the Given Identity 0:35 : Substitution x = sin θ 0:55 : Applying the Triple-Angle Formula 1:25 : Simplifying the Inverse Trigonometric Expression 1:55 : Using the Given Interval 2:25 : Completing the Mathematical Proof 2:50 : Final Answer and Conclusion