# How do you convert rsinθ=10 into a rectangular equations?

Mar 25, 2018

$y = 10$

#### Explanation:

You need to know these coordinate conversions between Cartesian and polar coordinates:

$x = r \setminus \cos \setminus \theta$

$y = r \setminus \sin \setminus \theta$

$r = \setminus \pm \setminus \sqrt{{x}^{2} + {y}^{2}}$

$\tan \setminus \theta = \frac{y}{x}$

The last two equations have some ambiguity because the polar coordinates $\left(r , \setminus \theta\right)$ and (-r,\theta+180°) correspond to the same point in the coordinate plane.