# Polar Curves

How does one prove that the curve r=sin(n{theta}) has n loops when n is odd and 2n loops when n is even???

## Answers and Replies

There are many ways I can think of that would not be very difficult. If you know how to area by polar integration, then find the area enclosed by your function as theta goes from zero to two pi. The result will be pi times the number of circles :)