Convert the polar equation to rectangular form.
$r = 6 \csc \theta$
A) $6 y = r$
B) $y = 6$
C) $x = 6$
D) $y = 6 r$
E) $x = 6 r$

Question

Convert the polar equation to rectangular form. 
$r = 6 \csc \theta$
A) $6 y = r$
B) $y = 6$
C) $x = 6$
D) $y = 6 r$
E) $x = 6 r$

Quizplus · Accepted Answer

The polar equation $r = 6 \csc \theta$ can be converted to rectangular form by recognizing that $\csc \theta = \frac{1}{\sin \theta}$ and in polar coordinates, $\sin \theta = \frac{y}{r}$. Therefore, $r = 6 \frac{1}{\sin \theta} = 6 \frac{r}{y}$, which simplifies to $y = 6$.

Convert the Polar Equation to Rectangular Form r=6csc⁡θr = 6 \csc \thetar=6cscθ

Convert the Polar Equation to Rectangular Form $r = 6 \csc \theta$