4. +-7 points SCalcET8 10.1.AE.005 My Notes Ask Your Teacher EXAMPLE5 Sketch the curve with parametric equations x = 3 sin(t), y = 9 sin2(t). SOLUTION Observe that y = (3 sin(t))2-x2 and so the point (x, y) moves on the parabola y -x2. But note also that, since -1 s sin(t) s1 we have part of the parabola for whichSXS , so the parametric equations represent only the Since sin(t) is periodic, the point (x, y)-3 sin(t), moves back and forth )to(3, ) infinitely many times along the parabola from -3, -3 3 Video Example- Need Help?Read It Talk to a Tutor
