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(a) You are given the point $(3,0)$ in polar coordinates.

(i) Find another pair of polar coordinates for this point such that $r > 0$ and $2\pi \le \theta < 4\pi.$

$r =$

$\theta =$

(ii) Find another pair of polar coordinates for this point such that $r < 0$ and $0 \le \theta < 2\pi.$

$r =$

$\theta =$

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(b) You are given the point $(2,-\pi/7)$ in polar coordinates.

(i) Find another pair of polar coordinates for this point such that $r > 0$ and $2\pi \le \theta < 4\pi.$

$r =$

$\theta =$

(ii) Find another pair of polar coordinates for this point such that $r < 0$ and $-2\pi \le \theta < 0.$

$r =$

$\theta =$

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(c) You are given the point $(-1,-\pi/2)$ in polar coordinates.

(i) Find another pair of polar coordinates for this point such that $r > 0$ and $2\pi \le \theta < 4\pi.$

$r =$

$\theta =$

(ii) Find another pair of polar coordinates for this point such that $r < 0$ and $0 \le \theta < 2\pi.$

$r =$

$\theta =$

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