Home
Class 12
MATHS
2tan^(-1)x=sin^(-1)""(2x)/(1+x^(2)), abs...

`2tan^(-1)x=sin^(-1)""(2x)/(1+x^(2)), abs(x) le 1`.

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 that 2 tan^-1 (1/x) = sin^-1 ((2x)/(1+x^2)), |x| ge 1

Prove that tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|lt1

If |x| le 1 , then 2 tan^-1 x + sin^-1 ((2x)/(1+x^2)) is equal to

Fill in the blanks: If y = 2 tan^-1 x + sin^-1 ((2x)/(1+x^2)) for all x, then ………… le y le …….

Prove that : 2 sin^-1 x = sin^-1 (2x sqrt(1-x^2)), |x| le (1/(sqrt2)

Prove that tan^(-1)x+"tan"^(-1)(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|lt(1)/(sqrt(3))

Show that 2 tan^-1 x = cosec^-1((1+x^2)/(2x)), 0 < |x| le 1

Differentiate the following functions w.r.t.x sin^-1((2x)/(1+x^2)), |x| le 1

Differentiate sin^(-1)((2x)/(1 + x^2)) w.r.t. tan^(-1) x .