Home
Class 12
MATHS
Prove the following: 3sin^–1 x = sin^–1 ...

Prove the following: `3sin^–1 x = sin^–1 (3x – 4x^3), x in [–1/2 , 1/2]`

Promotional Banner

Topper's Solved these Questions

  • INVERSE-TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|111 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|768 Videos
  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos

Similar Questions

Explore conceptually related problems

Prove the following: 3cos^–1 x = cos^–1 (4x^3 – 3x), x in [1/2,1]

int sin^-1 (3x-4x^3)dx

Prove the following: cos 4x = 1 - 8sin^2 x cos^2 x

Prove the following: sin^2 6x-sin^2 4x = sin 2x sin 10x

Prove that following : 2 sin^-1 x = cos^-1 (1-2x^2), 0 le x le 1

Solve the following sin^(-1) x + sin^(-1) 2 x = ( 2pi)/3

Prove the following: (sin x -sin 3x)/(sin^2 x -cos^2 x)= 2sinx

Prove the following: sin2 x + 2 sin 4x + sin 6x = 4 cos^2 x sin 4x

Differentiate the following w.r.t. x : sin^-1(3x-4x^3), -1/2 < x < 1/2

Prove the following: cot 4x (sin 5x + sin 3x) = cot x (sin 5x -sin 3x)