`sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))=`

A

`pi/4`

B

0

C

`pi/2`

D

`-pi/2`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

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

sin^(2)(cos^(-1)x)+cos^(2)(sin^(-1)(sqrt(1-x^(2)))) = ________ (0ltxlt1)

The domain of the function f(x)=cos^(-1)(sec(cos^-1 x))+sin^(-1)(cosec(sin^(-1)x)) is

If sin^(-1)x+sin^(-1)y=(2pi)/3" then "cos^(-1)x+cos^(-1)y = ____

Evaluate the following: sin^(-1)(sin(pi/4)) (ii) cos^(-1)(cos(2pi/3)) tan^(-1)(tan(pi/3))

The value of sec(sin^-1(sin((-50pi)/9))+cos^-1(cos((-31pi)/9)))

cos(cos^(-1)(-1/4)+sin^(-1)(-1/4)) = ______

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

cos^(- 1)x=2sin^(- 1)sqrt((1-x)/2)=2cos^(- 1)sqrt((1+x)/2)