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

The interval for which sin^(-1)sqrt(x)+cos^(-1)sqrt(x)=(pi)/(2) holds

Prove that sin^(-1)x+sin^(-1)sqrt(1-x^(2))=(pi)/(2)

The vaue of x satisfying sin^(-1)(x)+sin^(-1)(sqrt(15)x)=(pi)/2 is

sin^(-1)[sqrt(x^(2)-x^(3))-sqrt(x-x^(3))]=..... a) sin^(-1)x+sin^(-1)sqrt(x) b) sin^(-1)x-sin^(-1)sqrt(x) c) sin^(-1)sqrt(x)-sin^(-1)x d) 2sin^(-1)x

sin^(-1)x+sin^(-1)sqrt(1-x^(2))

Number ofsolution(s) ofthe equation cos^(-1)sqrt(x)-sin^(-1)sqrt(x-1)+cos^(-1)sqrt(1-x)-sin^(-1)((1)/(sqrt(x)))=(pi)/(2)

If sin^(-1)((sqrt(x))/2)+sin^(-1)(sqrt(1-x/4))+tan^(-1)y=(2pi)/3 , then

(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x)),x in[0,1]

Evaluate: int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))dx

Evaluate: int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))dx