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Find the range of f(x)=sin(cosx)....

Find the range of `f(x)=sin(cosx).`

Text Solution

Verified by Experts

The correct Answer is:
`[-sin1, sin 1]`
`f(x)=sin(cosx)`
For `AA x in R, theta=cosx in [-1,1]`
Since `sintheta`is increasing from `-pi//2" to"pi//2`, the maximum value occurs at `thet=1` and the minimum value occurs at ` theta=-1`. Hence, rangs is `[-sin1, sin1]`.
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