Express the following surfaces in spherical coordinates:
y² +z² -x² = 1
In shperical coordinates:
Substituting into the equation, obtain:
Answer. r2cos2θ−r2sin2θcos2ϕ=1r^2\cos^2\theta - r^2\sin^2\theta\cos2\phi=1r2cos2θ−r2sin2θcos2ϕ=1.
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