Question

Convert the polar equation to rectangular form:
r = -2cosø - 2sinø

Answer 1

multiply by r and you have

r^2 = -2rcosø-2rsinø
x^2+y^2 = -2x-2y
x^2+2x + y^2+2y = 0
(x+1)^2 + (y+1)^2 = 2