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प्रश्न
Write the maximum and minimum values of cos (cos x).
उत्तर
We know:
\[ - 1 \leq \cos x \leq 1\]
\[\text{ Also,} \cos\left( - \theta \right) = \cos\theta\]
\[\text{ When the angle increases from 0 to }\frac{\pi}{2}, \text{ the value of }\cos\theta\text{ decreases . }\]
\[ \therefore\text{ Maximum value of }\cos\left[ \cos\left( x \right) \right] = \cos\left( 0 \right) = 1'\]
\[\text{ And, minimum value of }\cos\left[ \cos\left( x \right) \right] = cos\left( 1 \right)\]
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