A curve is defined by the parametric equations x = sint, y = 1– cos t, 0

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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A curve is defined by the parametric equations
x = sin t,
y = 1 – cos t,
0<t< 2n.
Transcribed Image Text:A curve is defined by the parametric equations x = sin t, y = 1 – cos t, 0<t< 2n.
(b) Eliminate the parameter t to find a Cartesian equation of the curve. Determine the
curve it represents.
(c) Find an equation of the tangent to the curve at the point corresponding to t = 1/4.
Transcribed Image Text:(b) Eliminate the parameter t to find a Cartesian equation of the curve. Determine the curve it represents. (c) Find an equation of the tangent to the curve at the point corresponding to t = 1/4.
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