The letters r and θ represent polar coordinates. Write the following equation using rectangular coordinates (x, y).

r=1+sinθ

I chose: x²+y²=√(x²+y²+y)
(I am not completely sure about this)

1 answer

r=1+sinθ
√(x^2 + y^2) = 1 + y/√(x^2 + y^2)
x^2 + y^2 = √(x^2 + y^2) + y

confirmation:
www.wolframalpha.com/input/?i=plot+x%5E2+%2B+y%5E2+%3D+%E2%88%9A(x%5E2+%2B+y%5E2)+%2B+y

www.wolframalpha.com/input/?i=polar+plot+r+%3D+1+%2B+sin%CE%B8