SOLUTION: Please help me sketch a graph of the polar equation: {{{ r= 4/2+cos(theta) }}} Also, express the equation in rectangular coordinates. So far, I have the graph done. It's more

Algebra ->  Trigonometry-basics -> SOLUTION: Please help me sketch a graph of the polar equation: {{{ r= 4/2+cos(theta) }}} Also, express the equation in rectangular coordinates. So far, I have the graph done. It's more      Log On


   

Question 861467: Please help me sketch a graph of the polar equation: +r=+4%2F2%2Bcos%28theta%29+
Also, express the equation in rectangular coordinates.
So far, I have the graph done. It's more of an oval shape compared to a circle. the x,y axis coordinates are: (1,0) (2,0) (-4,0) (0,-2)
As for the Equation part, so far I have:
r(2+cos(theta)=4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The shape is called a cardioid (like a rounded heart).
r=2%2Bcos%28theta%29
sqrt%28x%5E2%2By%5E2%29=2%2Bx
x%5E2%2By%5E2=x%5E2%2B2x%2B4
y%5E2=2x%2B4