Find an equation for the line tangent to the curve at the point defined by the given value oft. Also, find the value of - at this point. x=t- sin t, y= 1– 2 cos t, t= 3 Write the equation of the tangent line. y =x+ (O (Type exact answers, using a as needed.) What is the value of at this point? dy (Type an integer or a simplified fraction.) 2 dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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Find an equation for the line tangent to the curve at the point defined by the given value oft. Also, find the value of -
at this point.
x=t- sin t, y= 1– 2 cos t, t=
3
Write the equation of the tangent line.
y =x+ (O
(Type exact answers, using a as needed.)
What is the value of
at this point?
dy
(Type an integer or a simplified fraction.)
2
dx
Transcribed Image Text:Find an equation for the line tangent to the curve at the point defined by the given value oft. Also, find the value of - at this point. x=t- sin t, y= 1– 2 cos t, t= 3 Write the equation of the tangent line. y =x+ (O (Type exact answers, using a as needed.) What is the value of at this point? dy (Type an integer or a simplified fraction.) 2 dx
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