Convert the following polar equation to rectangular form.
$\theta = - \frac { 5 \pi } { 3 }$
A) $y = \sqrt { 3 }$
B) $y = \frac { \sqrt { 3 } } { 3 }$
C) $y = - \sqrt { 3 }$
D) $y = 3$
E) $y = - \frac { \sqrt { 3 } } { 3 }$

Question

Quizplus · Accepted Answer

The given polar equation $\theta = - \frac { 5 \pi } { 3 }$ specifies a direction but does not directly translate to a specific rectangular form equation like those given for $y$. However, the direction $\theta = - \frac { 5 \pi } { 3 }$ corresponds to a line that cannot be represented by a simple $y =$ equation in rectangular coordinates because it specifies an angle, not a relationship between $x$ and $y$. The provided options suggest a misunderstanding of the conversion process. The correct approach to convert a polar equation to rectangular form involves equations that relate $r$, $\theta$, $x$, and $y$, but this specific polar equation does not convert to any of the given options. My explanation was incorrect; there's no direct conversion of an angle to a specific $y =$ form without additional context like a radius or a relationship between $x$ and $y$.

Convert the Following Polar Equation to Rectangular Form θ=−5π3\theta = - \frac { 5 \pi } { 3 }θ=−35π​

Convert the Following Polar Equation to Rectangular Form $\theta = - \frac { 5 \pi } { 3 }$