Question

Please help me with this question. Help will be appreciated:)

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

Answer 1

Hi.

Answer 2

It looks like this involves polar or spherical cooridnates.

Answer 3

All the angles are adding up to \(\pi\), it is like they form a triangle.