if x = a cos A sinB, y= a cos A cos B, Z = a sin A, prove that x^2 + y^2+ z^2 = a^2 Share with your friends Share 0 Varun.Rawat answered this We have,x = a cos A . sin By = a cos A . cos Bz = a sin ANow, LHS = x2 + y2 + z2=a2cos2A . sin2B + a2cos2A . cos2B + a2 sin2A=a2cos2Asin2B + cos2B + a2 sin2A=a2cos2A ×1 + a2 sin2A as, sin2θ + cos2θ = 1=a2cos2A + a2sin2A=a2cos2A + sin2A=a2=RHS 0 View Full Answer Zainab Nawab answered this x=a cosA.sinB y=acosA.cosA z=a sinA 0