Find any points on the curve given by x = t + sin t, y = cos^2(t), 0 ≤ t < 2π where the tangent is (i) horizontal and (ii) vertical.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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 Find any points on the curve given by x = t + sin t, y = cos^2(t), 0 ≤ t < 2π
where the tangent is (i) horizontal and (ii) vertical.

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