Which of the following describes the graph of the polar equation r = 2 − 4 cos θ? (a) A limacon with a dent symmetric to the polar axis, and points to the left. (b) A cardioid symmetric with respect to the polar axis, and points to the left. (c) A convex limacon symmetric with respect to the π/2-axis, and points to the left. (d) A cardioid symmetric with respect to the π/2-axis, and points to the left.

Which of the following describes the graph of the polar equation r = 2 − 4 cos θ? (a) A limacon with a dent symmetric to the polar axis, and points to the left. (b) A cardioid symmetric with respect to the polar axis, and points to the left. (c) A convex limacon symmetric with respect to the π/2-axis, and points to the left. (d) A cardioid symmetric with respect to the π/2-axis, and points to the left.

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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Question

Which of the following describes the graph of the polar equation r = 2 − 4 cos θ?

(a) A limacon with a dent symmetric to the polar axis, and points to the left.
(b) A cardioid symmetric with respect to the polar axis, and points to the left.

(c) A convex limacon symmetric with respect to the π/2-axis, and points to the left.
(d) A cardioid symmetric with respect to the π/2-axis, and points to the left.

Expert Solution