Find an equation in spherical coordinates for the equation given in rectangular coordinates. $y = 4$
A) $\beta = 4 \cos \phi \cos \theta$
B) $\beta = 4 \sec \phi \sec \theta$
C) $\rho = 4 \sin \phi \sin \theta$
D) $\rho = 4 \sec \phi \csc \theta$
E) $\beta = 4 \csc \phi \csc \theta$

Question

Quizplus · Accepted Answer

The equation $y = 4$ in rectangular coordinates translates to spherical coordinates by recognizing that $y = \rho \sin \phi \sin \theta$. Setting this equal to 4 gives $\rho \sin \phi \sin \theta = 4$, which simplifies to $\rho = 4 \csc \phi \csc \theta$, matching choice E.

Find an Equation in Spherical Coordinates for the Equation Given y=4y = 4y=4

Find an Equation in Spherical Coordinates for the Equation Given $y = 4$