Investigate the family of curves defined by the parametric equations x = cos t, y = sin
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Investigate the family of curves defined by the parametric equations x = cos t, y = sin t - sin ct, where c > 0. Start by letting c be a positive integer and see what happens to the shape as c increases. Then explore some of the possibilities that occur when c is a fraction.
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x cost y sint sin ct If c 1 then y 0 and the curve is simply the line segment from 10 to 10 The grap...View the full answer
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