A Circle in Polar Coordinates Consider the polar equation r = a cos 0 + b sin 0. (a) Express the equation in rectangular coordinates, and use this to show that the graph of the equation is a circle. What are the center and radius? (b) Use your answer to part (a) to graph the equation r= 2 sin 0 + 2 cos 0.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.2: Graphs Of Polar Equations
Problem 66E
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A Circle in Polar Coordinates Consider the polar equation
r = a cos 0 + b sin 0.
(a) Express the equation in rectangular coordinates, and use
this to show that the graph of the equation is a circle.
What are the center and radius?
(b) Use your answer to part (a) to graph the equation
r= 2 sin 0 + 2 cos 0.
Transcribed Image Text:A Circle in Polar Coordinates Consider the polar equation r = a cos 0 + b sin 0. (a) Express the equation in rectangular coordinates, and use this to show that the graph of the equation is a circle. What are the center and radius? (b) Use your answer to part (a) to graph the equation r= 2 sin 0 + 2 cos 0.
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