If sin-1x+sin-1y+sin-1z=pi,prove that
(i) x(1-x2)1/2 +y(1-y2)1/2 +z(1-z2)1/2=2xyz
(ii) x4 +y4 +z4 +4x2 y2z2 =2(x2 y2 +y2 z2+z2– x2
If sin-1x+sin-1y+sin-1z=pi,prove that
(i) x(1-x2)1/2 +y(1-y2)1/2 +z(1-z2)1/2=2xyz
(ii) x4 +y4 +z4 +4x2 y2z2 =2(x2 y2 +y2 z2+z2– x2