$\"\"$

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The function is $\"\"$ and the interval is $\"\"$ .

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Absolute maxima or minima exist either at the end points or at the critical numbers.

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Find the critical numbers :

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The function is $\"\"$ .

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$\"\"$ is differentiable at all points because its a trigonometric function.

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Therefore the solutions of $\"\"$ are the only critical numbers.

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Differentiate $\"\"$ on each side with respect to $\"\"$ .

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$\"\"$

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Equate $\"\"$ to zero.

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$\"\"$

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$\"\"$ ( Since $\"\"$ )

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The critical number is $\"\"$ .

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The end points are $\"\"$ and $\"\"$ .

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$\"\"$

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Find the value of $\"\"$ at the critical numbers.

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The function is $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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Find the value of $\"\"$ at the end points of the interval.

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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Since the largest value is $\"\"$ , absolute maximum is $\"\"$ .

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Since the smallest value is $\"\"$ , absolute minimum is $\"\"$ .

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Absolute maximum is $\"\"$ .

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Absolute minimum is $\"\"$ .