Theta is Also a Sinusoid

Calculus Level 4

In the $xy$ plane, the coordinates of a moving point are as specified below:

$x = \cos(\sin(t))\hspace{1cm}y=\sin(\sin(t))$

If $t$ denotes time, determine the average speed of the moving point from $t = -\frac{\pi}{2}$ to $t = \frac{\pi}{2}$

Details and Assumptions: All angles are in radians.