Consider the following parametric curve. Find dy dx dy dx dy dx = Find the value of X = sin (6t) + cos(t), y = cos(6t) sin(t) = dy dx when t = π. Find the equation of the tangent to the curve at the point corresponding to the parameter value t = π.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 45CT
icon
Related questions
Question
Consider the following parametric curve.
Find
dy
dx
dy
dx
=
y =
x = sin(6t) + cos(t), y = cos(6t) - sin(t)
Find the value of
dy
dx
when t = π.
dy
dx
Find the equation of the tangent to the curve at the point corresponding to the parameter value t = π.
Transcribed Image Text:Consider the following parametric curve. Find dy dx dy dx = y = x = sin(6t) + cos(t), y = cos(6t) - sin(t) Find the value of dy dx when t = π. dy dx Find the equation of the tangent to the curve at the point corresponding to the parameter value t = π.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,