Chapter 10 - Parametric Equations and Polar Coordinates - 10.3 Polar Coordinates - 10.3 Exercises - Page 706: 18

$y=\sqrt 3x$ This is line with slope $\sqrt 3$.

$\theta=\frac{ \pi}{3}$ $tan\theta=tan\frac{ \pi}{3}$ $\frac{sin\theta}{cos\theta}=\sqrt 3$ $\frac{rsin\theta}{rcos\theta}=\sqrt 3$ 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 $\sqrt 3$.