`sec^(-1)x + cosec^(-1)x = (pi)/2`

sec^(-1)(4)+cosec^(-1)(4)=(pi)/2

Using derivative, prove sec^(-1) x + cosec^(-1) x = frac{pi}{2}

The value of sec^(-1)x+cosec^(-1)x is

If sec^-1(x) + cosec^-1(1/3) = pi/2 , then find x.

The range of function f(x)=cot^(-1)x+sec^(-1)x+ cosec^(-1)x is (A) [(pi)/(2), pi)uu(pi, (3 pi)/(2)] (B) ((pi)/(2), (3 pi)/(4)] uu [(5 pi)/(4), (3 pi)/(2)) (C) ((pi)/(2), pi)uu(pi ,(3 pi)/(2)) (D) ((pi)/(2), (3 pi)/(2))

If sec^-1(2) + cosec^-1 (y) = pi/2 , then find y.

If cosec^(-1)x+cosec^(-1)y+cosec^(-1)z=-(3pi)/(2),then x/y+y/z+z/x=

sin(sec^(-1)x+"cosec"^(-1)x)

If sec^(-1)(2) +"cosec"^(-1) (y) = pi/2 , then find y .