On which of these intervals is $\sin x$ strictly increasing?

(- \frac{\pi}{2}, \frac{\pi}{2})

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(0, \pi)

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(\pi, 2 \pi)

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(\frac{\pi}{2}, \frac{3 \pi}{2})

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CorrectNot quiteAnswer A

Correct answer: A

The derivative is $\cos x$ .
It is positive throughout $(- \frac{\pi}{2}, \frac{\pi}{2})$ , and changes sign inside each of the others.

Ten questions from Increasing & Decreasing Functions, at your own pace.

Ten questions from Increasing & Decreasing Functions, at your own pace.

On which of these intervals is sin⁡x\sin xsinx strictly increasing?