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.

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