| \(\theta\) | \(r=1+2 \ \cos \theta\) | \(( r,\theta )\) |
|---|---|---|
| \(0\) | \(1+2(1) =3\) | \(( 3,0)\) |
| \(\dfrac{\pi }{3}\) | \(1+2\left( \dfrac{1}{2}\right) =2\) | \(\left( 2,\dfrac{\pi }{3}\right)\) |
| \(\dfrac{\pi }{2}\) | \(1+2\left( 0\right) =1\) | \(\left( 1,\dfrac{\pi }{2}\right)\) |
| \(\dfrac{2\pi }{3}\) | \(1+2\left( -\dfrac{1}{2}\right) =0\) | \(\left( 0,\dfrac{2\pi }{3}\right)\) |
| \(\pi\) | \(1+2( -1) =-1\) | \(\left( -1, \ \pi \right)\) |
| \(\dfrac{4\pi }{3}\) | \(1+2\left( -\dfrac{1}{2}\right) =0\) | \(\left( 0,\dfrac{4\pi }{3}\right)\) |
| \(\dfrac{3\pi }{2}\) | \(1+2\left( 0\right) =1\) | \(\left( 1,\dfrac{3\pi }{2}\right)\) |
| \(\dfrac{5\pi }{3}\) | \(1+2\left( \dfrac{1}{2}\right) =2\) | \(\left( 2,\dfrac{5\pi }{3}\right)\) |
| \(2\pi\) | \(1+2( 1) =3\) | \(( 3, \ 2\pi )\) |