Home
Class 12
MATHS
Prove : 3sin^(-1)x=sin^(-1)(3x-4x^(3)...

Prove :
`3sin^(-1)x=sin^(-1)(3x-4x^(3))," "x in[-1/2,1/2]`

Text Solution

Verified by Experts

The correct Answer is:
`therefore3thetain[-pi/2,pi/2]`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE - 2|17 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQs|57 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos
  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

Similar Questions

Explore conceptually related problems

Prove the following : 3sin^(-1)x=sin^(-1)(3x-4x^(3)),x epsilon[-1/2, 1/2]

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

Solve sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)

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

solve :sin^-1x+sin^-1 2x=pi/3

If y=sin^(-1)(3x-4x^(3)), then (dy)/(dx)=

Prove the following : sin^(-1)(2xsqrt(1-x^(2)))=2sin^(-1)x,x in[-1/sqrt2,1/sqrt2]

Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

Find (dy)/(dx) in the following: y= sin^(-1) (3x-4x^(3)), 0 lt x lt (1)/(2)

Prove the followings : cos^(-1)x=2sin^(-1)sqrt((1-x)/2)=2cos^(-1)sqrt((1+x)/2)