Convert an Equation from Polar to Rectangular Coordinates
-$$r = 7 \csc \theta$$
A) $y = 7$
B) $x = 7$
C) $y ^ { 2 } = 7$
D) $x ^ { 2 } + y ^ { 2 } = 7$

Question

Quizplus · Accepted Answer

The equation $r = 7 \csc \theta$ can be converted to rectangular coordinates by recognizing that $\csc \theta = \frac{1}{\sin \theta}$ and in polar coordinates, $r\sin \theta = y$. Therefore, $r = 7 \csc \theta$ becomes $r = \frac{7}{\sin \theta}$, which simplifies to $r\sin \theta = y = 7$.

Convert an Equation from Polar to Rectangular Coordinates - r=7csc⁡θr = 7 \csc \thetar=7cscθ

Convert an Equation from Polar to Rectangular Coordinates
- $r = 7 \csc \theta$