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Sketch the curve given by y = 2cos(t), x = 2t + 2sin(5) for [-pi,pi] and find its length. Can someone explain to me how to do it?
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The easiest way is, I believe, to solve the x = equation for t, so that you get t in terms of x. Then substitute into the y = equation, and you'll have a regular equation that you can manipulate normally.
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