If `sin^(-1)x+sin^(-1)y+sin^(-1)z=pi,t h e nx^4+y^2+z^4+4x^2y^2z^2=K(x^2y^2+y^2z^2+z^2x^2),` where `K` is equal to 1 (b) 2 (c) 4 (d) none of these

If sin^-1 x+sin^-1 y+sin^-1 z= pi prove that: x^4+y^4+z^4+4x^2y^2z^2=2(x^2y^2+y^2z^2+z^2x^20

If sin^(-1)x +cos^(-1)y +sin^(-1)z=2pi then 2x-z+y is :

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

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi then x ^ (4) + y ^ (4) + z ^ (4) + 4x ^ (2) y ^ (2) z ^ (2)

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi then x ^ (4) + y ^ (4) + z ^ (4) + 4x ^ (2) y ^ (2) z ^ (2) =

If sin^(-1)x+sin^(-1)y+sin^(-1)z+sin^(-1)t=2 pi then find the value of x^(2)+y^(2)+z^(2)+t^(2)

If cos^-1x+cos^-1y+cos^-1 z=pi, then (A) x^2+y^2=z^2 (B) x^2+y^2+z^2=0 (C) x^2+y^2+z^2=1 (D) none of these

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi, show that x ^ (4) + y ^ (4) + z ^ (4) + 4x ^ ( 2) y ^ (2) z ^ (2) = 2 (x ^ (2) y ^ (2) + y ^ (2) z ^ (2) + z ^ (2) x ^ (2))