Find a Cartesian equation relating x and y corresponding to the parametric equations      x=2sin(3t)  y=9cos(3t) Write your answer in the form. P(x,y)=0 where P(x,y) is a polynomial in x and y such that the coefficient of y^2 is 4. Answer: 81x^2+4y^2-324   Find the equation of the tangent line to the curve at the point corresponding to t=pi/9.  y=?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Find a Cartesian equation relating x and y corresponding to the parametric equations      x=2sin(3t)  y=9cos(3t)
Write your answer in the form. P(x,y)=0
where P(x,y) is a polynomial in x and y such that the coefficient of y^2 is 4.
Answer: 81x^2+4y^2-324
 
Find the equation of the tangent line to the curve at the point corresponding to t=pi/9.
 y=?

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