For the given rectangular equation, give its equivalent polar equation.
-$x - y = 4$
A) $r = \frac { 4 } { \cos \theta + \sin \theta }$
B) $r = \frac { 4 } { \sin \theta - \cos \theta }$
C) $r = \frac { 4 } { \cos \theta - \sin \theta }$
D) $r = \frac { 1 } { 4 \cos \theta - 4 \sin \theta }$

Question

Quizplus · Accepted Answer

The rectangular equation $x - y = 4$ can be converted to polar form using $x = r \cos \theta$ and $y = r \sin \theta$. Substituting these into the equation gives $r \cos \theta - r \sin \theta = 4$, which simplifies to $r = \frac{4}{\cos \theta - \sin \theta}$.

For the Given Rectangular Equation, Give Its Equivalent Polar Equation x−y=4x - y = 4x−y=4

For the Given Rectangular Equation, Give Its Equivalent Polar Equation $x - y = 4$