Question

Write the maximum and minimum values of $\cos \left(\cos x\right)$.

Answer 1

The maximum and minimum value of $\cos x$ is $1$ and $-1$

Hence $\cos \left(\cos x\right)$ at $x={90}^{\circ }$ is $\cos 0=1$(maximum value)

And $\cos \left(\cos x\right)$ at $x=0$ is $\cos 1$(minimum value)