Theta is Also a Sinusoid

Calculus Level 4

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

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

If tt denotes time, determine the average speed of the moving point from t=π2t = -\frac{\pi}{2} to t=π2t = \frac{\pi}{2}

Details and Assumptions: All angles are in radians.


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