# How do you convert #r = 2 sin theta# into cartesian form?

##### 1 Answer

Make use of a few formulas and do some simplification. See below.

#### Explanation:

When dealing with transformations between polar and Cartesian coordinates, always remember these formulas:

#x=rcostheta# #y=rsintheta# #r^2=x^2+y^2#

From

We can also replace

We could leave it at that, but if you're interested...

**Further Simplification**

If we subtract

Note that we can complete the square on

And how about that! We end up with the equation of a circle with center