4. Consider the parametric curve x = cost, y = sin cost, te [-T, π]. (a) Show that (0,0) is a point of self-intersection of the curve and find equations of the two tangent lines at this point. (b) Find the area enclosed by the loop of the curve that starts and ends at (0,0).
4. Consider the parametric curve x = cost, y = sin cost, te [-T, π]. (a) Show that (0,0) is a point of self-intersection of the curve and find equations of the two tangent lines at this point. (b) Find the area enclosed by the loop of the curve that starts and ends at (0,0).
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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