Class 12 Maths Inverse Trigonometry Function Exercise 2.2 Questions 9 #ilahi_sir #class_12_maths

Class 12 Maths Inverse Trigonometry Function Exercise 2.2 Questions 9. prove that cot inverse under root one plus sinx plus one minus sinex by under root one plus sinex minus under root one minus sinx is equal to x by 2. *YouTube Video Description:* 🎥 *Class 12 Maths: Inverse Trigonometry Functions - Exercise 2.2, Question 9* 🎥 In this video, we will solve *Question 9* from *Exercise 2.2* of Class 12 Maths, focusing on **Inverse Trigonometric Functions**. The problem requires us to prove the following identity: \[ \cot^{-1} \left( \frac{\sqrt{1 + \sin x} + \sqrt{1 - \sin x}}{\sqrt{1 + \sin x} - \sqrt{1 - \sin x}} \right) = \frac{x}{2} \] 📚 *What You'll Learn:* Step-by-step proof of the given trigonometric identity. Simplification techniques for expressions involving square roots and trigonometric functions. Application of inverse trigonometric functions in solving equations. 🔍 *Key Concepts Covered:* Inverse Trigonometric Functions Trigonometric Identities Simplification of Complex Expressions 📝 *Detailed Explanation:* 1. We start by simplifying the expression inside the inverse cotangent function. 2. Rationalize the numerator and denominator to eliminate the square roots. 3. Use trigonometric identities to simplify the expression further. 4. Finally, apply the inverse cotangent function to arrive at the desired result. 👍 *Why Watch This Video?* Clear and concise explanations. Detailed step-by-step solutions. Perfect for Class 12 students preparing for board exams or competitive exams like JEE. 📌 *Don't Forget to Like, Share, and Subscribe!* If you find this video helpful, please give it a thumbs up, share it with your friends, and subscribe to our channel for more such educational content. 🔗 Related Videos: Inverse Trigonometric Functions: Basics and Properties Class 12 Maths: Important Questions and Solutions #Class12Maths #InverseTrigonometry #TrigonometricIdentities #MathsSolutions #BoardExams #JEEMains #MathsTutorial #ilahi_sir #ilahisir #elahi_sir #elahi_sir #ilahi_sir_physics #ilahi_sir_mathsb#elahi_sir_maths