Plot a function in polar coordinates: $r=a(1+b\cos\varphi)$

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Plot a function in polar coordinates (consider parameters positive): $$r=a(1+b\cos\varphi).$$

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Can you help me with general way/algorithm of solving that kind of tasks? What kind of steps do I need to do function research?

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For a series of values of $\varphi$ from $\varphi=0$ to $2\pi$ , plot each point computed with $r=a(1+b\cos(\varphi))\:;\:x=r\cos(\varphi) \:,\: y=r\sin(\varphi)$.

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