Question

Write the maximum and minimum values of cos (cos x).

Answer 1

$1\le cos\left(x\right)\le 1forx\in [0,x,\pi ]$ cos (x)is maximum at $x=\pi .$

cos [cos(0)]=cos(1)=0.9984

cos [cos(x)]=cos(-1)=cos(1)

$cos\left(cos\left(\frac{\pi }{2}\right)\right)=cos\left(0\right)=1$

The maximum value of cos (cos(x))is 1.

The minimum value of cos (cos(x))is cos (1).