`sin ^(-1)cos sin^(-1)""x=(pi)/(3)`

Solve : sin ^(-1) x+sin ^(-1) ""y=(2pi)/(3) and cos ^(-1) x- cos ^(-1)y =(pi)/(3).

prove that , sin ^(-1) cos sin ^(-1 )x+cos ^(-1) sin cos ^(-1) ""x=(pi)/(2)

(i) Evaluate : sec (cos^(-1).(1)/(2)) (ii) slove the equations sin^(-1) x + sin^(-1) y = (2pi)/(3) and cos^(-1) x - cos ^(-1) y = (pi)/(3)

The value of x satisfying the equation (sin^(-1)x)^(3)-(cos^(-1)x)^(3)+(sin^(-1)x)(cos^(-1)x)(sin^(-1)x-cos^(-1)x)=(pi^(3))/(16) is :

If sin^(-1)x+sin^(-1)y=(2pi)/(3)",then"cos^(-1)x+cos^(-1)y is equal to

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 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

Prove that sin^(-1) cos (sin^(-1) x) + cos^(-1) x = (pi)/(2), |x| le 1