Given the parametric equation : X = sin t cos t and y = sin t where 0 < t < 2n a. What is the slope of tan gent line at the point (0, 0) b. What is the equation of the tan gent line pass through this point c. What is t = when parametric curve has Horizental tan gent lin d. What ist = when parametric curve has vertical tan gent line

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 53E
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Given the parametric equation :
X = sin t cos t
and y =
sin t
where 0 < t < 2x
a. What is the slope of tan gent line at the point (0, 0)
b. What is the equation of the tan gent line pass through this point
c. What is t = when parametric curve has Horizental tan gent lines
d. What ist = when parametric curve has vertical tan gent line
Transcribed Image Text:Given the parametric equation : X = sin t cos t and y = sin t where 0 < t < 2x a. What is the slope of tan gent line at the point (0, 0) b. What is the equation of the tan gent line pass through this point c. What is t = when parametric curve has Horizental tan gent lines d. What ist = when parametric curve has vertical tan gent line
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