Question

Will give brainliest!!

Answer 1

Answer:

$r=\frac{9\cos \theta}{\sin^2 \theta}$

Step-by-step explanation:

The given equation in rectangular coordinates is;

$y^2=9x$

We use the relation;

$x=r\cos \theta$

and

$y=r \sin \theta$

This implies that;

$(r \sin \theta)^2=9(r \cos \theta)$

$r^2 \sin^2 \theta=9r \cos \theta$

Divide through by r to get;

$r \sin^2 \theta=9\cos \theta$

Divide both sides by $\sin^2 \theta$

$r=\frac{9\cos \theta}{\sin^2 \theta}$