Question

Transform the following polar equation into an equation in rectangular coordinates: r=2 cos theta

x = 2

(x-1)^2+y^2=1

y = 2x

x + y = 2

Answer 1

r=2 cos theta
multiply r to both sides:
r^2 = 2 rcos(theta)

since r^2 = x^2 + y^2 and x = rcos(theta),

x^2 + y^2 = 2x

can you take it from here?

Answer 2

Yes thank you

Answer 3

yw

Answer 4

I thought i understood it but i still need the answer to make sure

Answer 5

in polar x= rcostheta
and y = rsintheta

Answer 6

you can just sub those in and your good to go

Answer 7

are you able to get here: x^2 + y^2 = 2x ?