Express the given equation in rectangular coordinate equation and sketch the curve. r^2=1+sin(theta)
we know r^2 = x^2 + y^2 and sinØ = y/r
so we have x^2 + y^2 = 1 + y/r
x^2 + y^2 = 1 + y/√(x^2+y^2)
I don't know to what level you want to simplify this, I will leave it up to you