Question

Find all polar coordinates of point P where P = (9,pi divided by 5).

(9, pi divided by 5 + 2nπ) or (-9, pi divided by 5 + 2nπ)

(9, pi divided by 5 + (2n + 1)π) or (-9, pi divided by 5 + 2nπ)

(9, pi divided by 5 + nπ) or (-9, pi divided by 5 + nπ)

(9, pi divided by 5 + 2nπ) or (-9, pi divided by 5 + (2n + 1)π)

Answer 1

what they're really asking is all coterminal vectors that land at the same angle of \(\cfrac{\pi}{5}\)

Answer 2

so, which ones, well, just cycle through \(2\pi\) and you'll land there again, another \(2\pi\) and there you are, and once again and again and again