Parametrized curves problem?
Consider the curves c1 and c2 parametrized by x = cos(t), y = sin(t), and x = sin(2t), y = cos(2t), respectively, for 0 ≤ t ≤ 2π. Draw the graphs of c1 and c2, and indicated all values of t in [0,2π] if any, for which c1(t) = c2(t)
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The first moving point goes around the unit circle counterclockwise once, starting at the point (1,0).
The second moving point goes around the unit circle twice clockwise starting at the point (0,1).
The moving points coincide at t=π/6, 5π/6, 3π/2