Consider the parametric equations x= cos t, y = sin t, 0sts 2n. a. What curve do the points of these equations live on? b. What is the slope of the tangent line to this curve when t= T1/4? c. When is the slope of the tangent line zero?

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 35E
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Consider the parametric equations x = cos t, y = sin t, 0sis 2n.
a. What curve do the points of these equations live on?
b. What is the slope of the tangent line to this curve when t= 1/4?
c. When is the slope of the tangent line zero?
Transcribed Image Text:Consider the parametric equations x = cos t, y = sin t, 0sis 2n. a. What curve do the points of these equations live on? b. What is the slope of the tangent line to this curve when t= 1/4? c. When is the slope of the tangent line zero?
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