Show transcribed image text EXAMPLE 5 Sketch the curve with parametric equations x 2 sin(t), y-4 sin2(t) SOLUTION Observe that y (2 sin(t))2 x2 and so the point (x, y) moves on the parabola y = x2 But note also that since-1 S sin ) S 1 we have , so the parametric equations represent only the part of the parabola for which Since sin(t) is periodic, the point (x, y)2 sin(t), moves back and forth infinitely many times along the parabola from (2 to 2,
EXAMPLE 5 Sketch the curve with parametric equations x 2 sin(t), y-4 sin2(t) SOLUTION Observe that y (2 sin(t))2 x2 and so the point (x, y) moves on the parabola y = x2 But note also that since-1 S sin ) S 1 we have , so the parametric equations represent only the part of the parabola for which Since sin(t) is periodic, the point (x, y)2 sin(t), moves back and forth infinitely many times along the parabola from (2 to 2,
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