Convert the polar equation to rectangular coordinates. $\frac {r } { 6 } = \sec \theta$
A) $y = 6$
B) $y = 6 x$
C) $x = 6$
D) $x y = 6$
E)none of these

Question

Quizplus · Accepted Answer

The polar equation $\frac{r}{6} = \sec \theta$ can be rewritten as $r = 6 \sec \theta$. Since $\sec \theta = \frac{1}{\cos \theta}$, we have $r = \frac{6}{\cos \theta}$. Multiplying both sides by $\cos \theta$, we get $r \cos \theta = 6$. In rectangular coordinates, $r \cos \theta = x$, so the equation becomes $x = 6$.

Convert the Polar Equation to Rectangular Coordinates r6=sec⁡θ\frac {r } { 6 } = \sec \theta6r​=secθ

Convert the Polar Equation to Rectangular Coordinates $\frac {r } { 6 } = \sec \theta$