Range of `sin^(-1)x+cos^(-1)x+tan^(-1)x` is `[a pi,b pi],` then the value of a

If 4 cos^(-1)x + sin^(-1) x = pi , then the value of x is

If 4\ cos^(-1)x+sin^(-1)x=pi , then the value of x is

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 cos^(-1) x = (pi)/(3) , the find the value of sin ^(-1)x .

If cos^(-1) x = (pi)/(3) , the find the value of sin ^(-1)x .

If A=(1)/(pi)[[sin^(-1)(x pi),tan^(-1)((x)/(pi))sin^(-1)((x)/(pi)),cot^(-1)(x pi)]] and B=(1)/(pi)[[-cos^(-1)((x)/(pi)),cot^(-1)(x pi)]] and sin^(-1)(x pi),-tan^(-1)((x)/(pi))] find the value of A-B in terms of identity matrix

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.

The range of sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2] , where [.] denotes the greatest integer function, is (a) {pi/2,pi} (b) {pi} (c) {pi/2} (d) none of these

The range of sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2] , where [.] denotes the greatest integer function, is {pi/2,pi} (b) {pi} (c) {pi/2} (d) none of these