Suppose a curve is traced by the following parametric equations as t runs from 0 to pi. x=5(sin⁡(t)+cos⁡(t)) y=54−20cos2⁡(t)−40sin⁡(t)  At what point (x,y) on this curve is the tangent line horizontal?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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Suppose a curve is traced by the following parametric equations as t runs from 0 to pi.

x=5(sin⁡(t)+cos⁡(t))

y=54−20cos2⁡(t)−40sin⁡(t)

 At what point (x,y) on this curve is the tangent line horizontal?

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