Sketch the graph of the curve whose equation in polar coordinates is \(r=1-2\cos\theta\text{,}\) \(0\leq \theta \lt 2\pi\text{.}\) Sketch the graph of the curve whose equation in polar coordinates is ...

Given any expression of the form \(a\cos x + b\sin x\) it is better to rewrite it into one of the forms \(k\cos (x \pm \alpha )\) or \(k\sin (x \pm \alpha )\) before answering the question.