How do you convert x^2+y^2 = 2x^2x2+y2=2x2 to polar form?

1 Answer
Jun 7, 2016

theta = 45º or theta = –45º

Explanation:

First, simplify the expression:

x^2 + y^2 = 2x^2
y^2 = x^2

Using the parameterisation x = r cos theta and y = r sin theta, make the appropriate substitutions:

r^2 cos^2 theta = r^2 sin^2 theta
tan^2 theta = 1
tan theta = pm 1
theta = 45º or theta = –45º

r in this case is any positive real value.