I am attempting to express the plane y = -x in spherical coordinates. Is there any clean way to do this?
I have expressions for rho, theta, and phi in my text book but I don't think anyone of those would work.
2026-03-28 16:19:39.1774714779
Spherical Coordinates ( plane y = -x)
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Since $\tan\phi = \frac{y}{x}$ the equation is $$\phi = -\frac{\pi}{4} \bigcup \phi = \frac{3\pi}{4}$$