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

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

Answer

Step by step text solution for Prove the following : 3sin^(-1)x=sin^(-1)(3x-4x^(3)),x epsilon[-1/2, 1/2] by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE|17 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT TELUGU|Exercise EXERCISE 2.1|14 Videos

  • INTEGRALS

    NCERT TELUGU|Exercise EXERCISE 7.12|43 Videos

  • LINEAR PROGRAMMING

    NCERT TELUGU|Exercise EXERCISE 12.1 (SOLVE THE FOLLOWING LINEAR PROGRAMMING PROBLEMS GRAPHICALLY:)|6 Videos

Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

  • int Sin^(-1) (3x-4x^(3))dx=

    A
    `3(x Sin^(-1)x-sqrt(1-x^(2))+c`
    B
    `3(x Sin^(-1)x+sqrt(1-x^(2))+c`
    C
    `x Sin^(-1)x+sqrt(1-x^(2))+c`
    D
    none

  • If sin^(-1)(x)+sin^(-1)(2x)=(pi)/3 then x=

    A
    `3/28`
    B
    `(sqrt(3))/28`
    C
    `sqrt(3/28)`
    D
    `3/(sqrt(28))`

  • (d)/(dx) {Sin ^(-1) (3x -4 x ^(3))}=

    A
    `(1)/( sqrt( 1 -x ^(2)))`
    B
    `(2)/( sqrt( 1 -x ^(2)))`
    C
    `(3)/( sqrt( 1 -x ^(2)))`
    D
    `(3)/( sqrt( 1 +x ^(2)))`

    • Similar Questions

    Explore conceptually related problems

    int_(-1)^(1)(x^(4) + sin^(3)x)dx

    Evaluate the following integrals. int(1)/(3sin^(2)x+4cos^(2)x)dx

    Establish the following If y=Tan^(-1)((2x)/(l-x^(2)))+Tan^(-1)((3x-x^(3))/(l-3x^(2)))-Tan^(-1)((4x-4x^(3))/(1-6x^(2)+x^(4))) then (dy)/(dx)=(l)/(l-x^(2))

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

    Solve Sin^(-1)x +Sin^(-1)2x = (pi)/3 .

    Home
    Profile