Cbse class 12th maths Inverse trigonometric functions exercise 2.2 one shot video

In this video we discuss about cbse class 12 of inverse trigonometric functions of exercise 2.2 problem solved in this video are

1. Prove the following 3 sin^-1(x) = sin^-1(3x-4x^3), x belongs to [-1/2, 1/2]
2. Prove the following 3 cos^-2(x) = cos^-1(4x^3-3x), x belongs to [1/2, 1]
3. Write the following functions in the simplest form: tan^-1((√x^2-1) -1 ) / x) , x≠0
4. Write the following functions in the simplest form: tan^-1(√(1-cosx)/ (1+ cos x ) ) , 0 less than x less than pie
5. Write the following functions in the simplest form: tan^-1( ( cos x- sin x ) / (cos x + sin x) ), -pie/4 less than x less than (3 pie)/4
6. Write the following functions in the simplest form: tan^-1 (x/√(a^2 - x^2)) , |x| less than a
7. Write the following functions in the simplest form: tan^-1((3(a^2) x - x^3)/ (a^3-3a(x^2)), a greater than 0, -a/√3 less than x less than a/√3
8. Find the value of each of the following tan^-1[2cos(2sin^-1 1/2) ]
9. Find the value of each of the following tan(1/2)[sin^-1 (2x/1+x^2 ) + cos^-1 ((1-y^2) / (1+y^2)) ], |x| less than 1, y greater than 0 and xy less than 1
10. find the value of each of the expression in sin^-1(sin 2 pie /3)

11. find the value of the expression in tan^-1(tan (3 pie/4))

12. tan(sin^-1((3/5)+ cot^-1(3/2)))

13. cos^-1(cos 7 pie / 6 ) is equal to

14. tan^-1(√3) - cot(-√3) is equal to

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introduction of inverse trigonometric functions: https://youtu.be/hjTjhEOzu_U?si=LbRvGyNCCDPwCfZ8

one shot video of inverse trigonometric functions exercise 2.1: https://youtu.be/htu166O0NpI?si=vzX2_W9QqB_1cK4Y

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