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