Home
Class 12
MATHS
If x in [-1,1] then sin^(-1)(2x)/(1+x^(2...

If `x in [-1,1] then sin^(-1)(2x)/(1+x^(2))` equals

Text Solution

Verified by Experts

The correct Answer is:
`2 tan^-1 x`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE 7.7|9 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE 7.8|17 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE 7.5|23 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos

Similar Questions

Explore conceptually related problems

If x in (1,oo) then sin^(-1)((2x)/(1+x^(2))) equals

If x in (-oo,-1) then sin^(-1)((2x)/(1+x^(2))) equals

If x in R , then f(x)=sin^(-1)((2x)/(1+x^(2))) is equal to

If (1)/sqrt(2) le x le 1 then sin^(-1) 2xsqrt(1-x^(2)) equals

For x>1,int sin^(-1)((2x)/(1+x^(2)))dx is equal to

d/(dx) (sin^(-1) "" (2x)/(1+x^(2))) is equal to

If -1 le x le -(1)/sqrt(2) then sin^(-1)2xsqrt(1-x^(2)) equals

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

If -1/2 le x le 1/2 hence sin^(-1)(3x-4x^(3)) equals