SOLUTION: Write the polar equation r^2 - 2r cos(theta) = 0 in rectangular form. x^2 + y^2 - 2y = 0 y = 2x x + y - 2 = 0 x^2 + y^2 - 2x = 0 Any help will be much appreciated!

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Write the polar equation r^2 - 2r cos(theta) = 0 in rectangular form. x^2 + y^2 - 2y = 0 y = 2x x + y - 2 = 0 x^2 + y^2 - 2x = 0 Any help will be much appreciated!      Log On


   

Question 1023352: Write the polar equation r^2 - 2r cos(theta) = 0 in rectangular form.
x^2 + y^2 - 2y = 0
y = 2x
x + y - 2 = 0
x^2 + y^2 - 2x = 0
Any help will be much appreciated!
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Write the polar equation r^2 - 2r cos(theta) = 0 in rectangular form.
x^2 + y^2 - 2y = 0
y = 2x
x + y - 2 = 0
x^2 + y^2 - 2x = 0
Any help will be much appreciated!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

1.  r%5E2 = x%5E2+%2B+y%5E2.

2.  r*cos(theta) = x.


3.  Therefore, the polar equation  r%5E2+-+2r%2Acos%28theta%29 = 0  in rectangular form is

    x%5E2+%2B+y%5E2+-+2x = 0.


That's all.

It is your answer.