CPM Homework Help : PCT Problem 11-72

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Home > PCT > Chapter Ch11 > Lesson 11.2.1 > Problem 11-72

11-72.

Transform the following polar equations into rectangular form.

$r^{2} = \cos θ \sin θ$
Step 1(a):
Multiply both sides of the equation by $r^{2}$ .
Show 1(a):
$\textit{r}^4=(\textit{r}\cos\theta)(\textit{r}\sin\theta)$
Step 2(a):
Substitute the polar coordinate conversions.
Show 2(a):
$\left(x^{2} + y^{2}\right)^{2} = xy$

$r = −3 \csc θ$
Step 1(b):
Multiply both sides of the equation by $\sin θ$ .

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