Answer
$y=\sqrt 3x$
This is a line with slope $\sqrt 3$ passing through (0,0).
Work Step by Step
$\theta=\frac{ \pi}{3}$
$tan\theta=tan\frac{ \pi}{3}$
$\frac{sin\theta}{cos\theta}=\sqrt 3$
$\frac{rsin\theta}{rcos\theta}=\sqrt 3$
To convert polar equation to Cartesian coordinates, we use the equations $rcos \theta=x$ and $rsin \theta=y$
$\frac{y}{x}=\sqrt 3$
Hence, $y=\sqrt 3x$
This is line with slope $\sqrt 3$.
