Show that for all values of and , the point(a sin cos ,a sin sin ,a cos )lies on the

Chapter 11, Problem 55

(choose chapter or problem)

Show that for all values of \(\theta\) and \(\phi\), the point

\((a \sin \phi \cos \theta, a \sin \phi \sin \theta, a \cos \phi)\)

lies on the sphere \(x^{2}+y^{2}+z^{2}=a^{2}\).

Equation Transcription:

𝜙

(a sin 𝜙 cos , a sin 𝜙 sin , a cos 𝜙)

Text Transcription:

theta

phi

(a sin phi cos theta, a sin phi sin theta, a cos phi)

x^2 + y^2 + z^2 = a^2