If sin^(-1)x+sin^(-1)y+sin^(-1)z=(pi)/(2...

If `sin^(-1)x+sin^(-1)y+sin^(-1)z=(pi)/(2)`, then the value of `x^(2)+y^(2)+z^(2)+2xyz` is equal to

A

(a) 0

B

(b) 1

C

(c) 2

D

(d) 3

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If, sin^(-1)x+sin ^(-1)""2x=(pi)/(3) , then value of x is

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

If "sin"^(-1)(1)/(3)+"sin"^(-1)(2)/(3)=sin^(-1)x , then the value of x is

If sin^-1(1-x)-2sin^-1x = frac{pi}{2} then find the value of x

If cos x+ cos ^(2) x=1,. then the value of sin ^(2) x+ sin ^(4) x is

If sin^(-1)x+cos^(-1)y=(2pi)/(5),"then "cos^(-1)x+sin^(-1)y =

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

If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(dx) is equal to

If x in [0. (pi)/(2)], y in [0, (pi)/(2)] and sin x + cos y =2, then the value of x+y is equal to........ A) 2pi B) pi C) pi/4 D) pi/2