Question

transform the following ppolar equation into an equation in rectangluar coordinates:
r=2cos theta

A. x+y=2
B. (x-1)^2+y^2=1
c. x=2
d. y=2x

Answer 1

B?

Answer 2

multiply both sides by r
r^2=2rcos theta

Answer 3

But x^2+y^2=1 and rcos theta = x
so:
x^2+y^2 = 2x
x^2-2x +1 +y^2 = 1
(x-1)^2 + y^2 = 1

Answer 4

Yep. B