Question

draw the terminal side of an angle in standard position that measures $-2\pi$ radians.
hint: first plot a point at the origin, then plot a second point anywhere on the terminal side.
answer the following in radians. the $\pi$ is already given.
find a nonnegative angle that is coterminal. $\pi$
find a negative angle that is coterminal. $\pi$
question help: ebook message instructor

Explanation:

Step1: Recall the formula for coterminal angles

Coterminal angles are given by \(\theta + 2k\pi\), where \(k\in\mathbb{Z}\)

Step2: Find a non - negative coterminal angle

Let \(k = 1\). Then \(\theta=- 2\pi+2\pi\times1\)

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Step3: Find a negative coterminal angle

Let \(k=-1\). Then \(\theta=-2\pi+2\pi\times(-1)\)

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Answer:

Non - negative coterminal angle: \(0\pi\)
Negative coterminal angle: \(-4\pi\)