# 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.