Sinusoidal Model: The Butterfly 1. Assume it takes about 1 second for the butterfly's wings to go from fully closed back to fully closed. 2. Call the angle between the butterfly's wings 0. Find a sinusoidal model for 0(t) where t is time in seconds. (Hint: use your trig folder!) 3. Graph your model equation for two full cycles. 4. Find the derivative of your model equation, 0'(t), and graph that also on a separate graph.

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