Find the range of $f (x) = sin (cos x)$ .

[- 1, 1]

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[- sin 1, sin 1]

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[- cos 1, cos 1]

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[- \infty, \infty]

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Solution

The correct option is B $[- sin 1, sin 1]$
As $- 1 \leq c o s x \leq 1$
$\Rightarrow sin (- 1) \leq f (x) \leq sin (1) \Rightarrow f (x) \in [- sin 1, sin 1]$

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