If `sin^(-1)x+sin^(-1)y+sin^(-1)z =(3pi)/2` , then find the value of `x^2+y^2+z^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)0 b)1 c)2 d)3

sin^(-1)(1-x)-2sin^(-1)x= pi/2 ,then find x

If (-1)ltx, y, z le 1 such that sin ^(-1) x+sin ^(-1) y+sin ^(-1) z=(3 pi)/2 , find the value of x^(2000)+y^(2001)+z^(2002)-(9/(x^(2000)+y^(2001)+z^(2002)))

If sin^(-1)x+sin^(-1) y + sin ^(-1) z = (3pi)/2 , the value of x^(100)+y^(100)+z^(100) -9/(x^(101)+y^(101)+z^(101)) is : (i)0 (ii)1 (iii)2 (iv)3

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

Find sin(pi/3-sin^(-1)(-1/2)) =

If cos^(-1) x + cos^(-1) y + cos^(-1)z=pi , then a) x^2+y^2+z^2+xyz=0 b) x^2+y^2+z^2+2xyz=0 c) x^2+y^2+z^2+xyz=1 d) x^2+y^2+z^2+2xyz=1

If "cos"^(-1)x+"cos"^(-1)y=(2pi)/(7) , then the value of "sin"^(-1)x+"sin"^(-1)y is

If sin A + cos 2A = 1/2 and cos A +sin 2A =1/3 , then find the value of sin 3A .

If cos ^-1 x+cos ^(-1) y+cos ^(-1) z=pi and 0ltx, y ,zlt1 ,show that x^2+y^2+z^2+2 x y z=1