Answer
Rectangular equation:
$y^2 - x = 0$
Graph:
Work Step by Step
**Remember:(I) $r^2 = x^2 + y^2$, (II) $tan(θ) = \frac{y}{x}$, (III) $rcos(θ) = x$, (IV) $rsin(θ) = y$
$r = cot(θ)csc(θ)$
$r = \frac{1}{tan(θ)sin(θ)}$
Multiplying both sides by "tan(θ)sin(θ)":
$rtan(θ)sin(θ) = 1$
Using (IV) and (II):
$y\frac{y}{x} = 1$
$\frac{y^2}{x}= 1$
Multiplying both sides by "x":
$y^2 = x$
$y^2 - x = 0$