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Write the maximum value of sin (cos x).

Question:

Write the maximum value of sin (cos x).

Solution:

We have:

$-1 \leq \cos x \leq 1$

Also, $\sin (-\theta)=-\sin \theta$

When the angle increases from 0 to $\frac{\pi}{2}$, the value of $\sin \theta$ also increases.

$\therefore$ Maximum value of $\sin [\cos x]=\sin (1)$

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