`Sin^-1x/a=Cos^-1x/b=tan^-1y/c` value of `cos((pic)/(a+b))`

If sin^(-1)x+sin^(-1)y=(2 pi)/(3) ,then the value of cos^(-1)x+cos^(-1)y is (A) (2 pi)/(3) (B) (pi)/(3) (C) (pi)/(2) (D) pi

If cos^(-1)x=tan^(-1)x , then sin(cos^(-1)x)=

If a sin^(-1)x-b cos^(-1)x=c, then a sin^(-1)x+b cos^(-1) equal to

If -1<=x,y<=1 such that sin^(-1)x+sin^(-1)y=(pi)/(2), find the value of cos^(-1)x+cos^(-1)y

If -1<=x,y<=1 such that sin^(-1)x+sin^(-1)y=(pi)/(2), find the value of cos^(-1)x+cos^(-1)y

If sin^(-1)x+sin^(-1)y=(pi)/(3) and cos^(-1)x+cos^(-1)y=(pi)/(6), find the values of x and y.

If a le sin^(-1)x +cos^(-1)x+tan^(-1)x le b , then:

The value of 2tan^(-1)(cos ec tan^(-1)x-tan cot^(-1)x) is equal to (a)cot ^(-1)x( b ) (cot^(-1)1)/(x) (c)tan ^(-1)x (d) none of these