A polar equation is given by r = 2 + 3 cos θ. (a) Show that the graph of the equation is symmetrical with respect to x-axis and passes through the origin. (b) Using information in (a), construct a table for appropriate value of r and θ and hence sketch the graph of r. (c) Find the points of intersection between the above graph and the graph r = 2.
A polar equation is given by r = 2 + 3 cos θ. (a) Show that the graph of the equation is symmetrical with respect to x-axis and passes through the origin. (b) Using information in (a), construct a table for appropriate value of r and θ and hence sketch the graph of r. (c) Find the points of intersection between the above graph and the graph r = 2.
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 2GP
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3. A polar equation is given by r = 2 + 3 cos θ.
(a) Show that the graph of the equation is symmetrical with respect to x-axis and passes through the origin.
(b) Using information in (a), construct a table for appropriate value of r and θ and hence sketch the graph of r.
(c) Find the points of intersection between the above graph and the graph r = 2.
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