The interval in which `cos^-1x gt sin^-1x` is

The interval in which cos ^(-1)x>sin^(-1)x is

The interval of x for which cos^(-1)x le sin^(-1)x is :

If cos^(-1)x gt sin^(-1) x , then

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

Find the interval in which the function f(x) =cos^(-1) ((1-x^(2))/(1+x^(2))) is increasing or decreasing.

It is given that A=(tan^(-1)x)^(3)+(cot^(-1)x)^(3) where x gt 0 and B=(cos^(-1)t)^(2)+(sin^(-1)t)^(2) where t in [0, (1)/(sqrt(2))] , and sin^(-1)x+cos^(-1)x=(pi)/(2) for -1 le x le 1 and tan^(-1)x +cot^(-1)x=(pi)/(2) for x in R . The interval in which A lies is :