Question

for what values of theta do maximum r-values occur on the graph the polar equation r=-4+4cos theta? note that the max r-values occurs a point that is the max distance from the pole. Please help!

Answer 1

`0, 2\pi`

Explanation:

Cosine is periodic function whose range corresponds to values between -1 and 1. The maximum r-values occur when cosine is equal to one. Then, the set of solutions are:

`\theta = 0\,rad \pm 2\pi\cdot i`,
`\forall i \in \mathbb{N}_(O)`