1.

If x =rsin acos B, y = rsin asin p and z = rcos a, prove thatPy’ +t=r

Answer»

X^2+y^2+z^2=

R^2Cos^2alphasin^2beta + r^2cos^2alphacos^2beta+ R^2sin^2 alpha

R^2[Cos^2alpha(sin^2beta+ cos^2 beta)+sin^2 alpha]

R^2[Cos^2 alpha + sin^2 alpha]=r^2

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