a. Explanation Given data: The given limacon expression is written as follows: r = 1 − cos θ Description: Condition for symmetric about the x -axis: If the point ( r , θ ) lies on the graph, then the point ( r , − θ ) or ( − r , π − θ ) lies on the graph. Condition for symmetric about the y -axis: If the point ( r , θ ) lies on the graph, then the point ( r , π − θ ) or ( − r , − θ ) lies on the graph. Condition for symmetric about the origin: If the point ( r , θ ) lies on the graph, then the point ( − r , θ ) or ( − r , θ + π ) lies on the graph. Rewrite the given polar coordinate equation as follows: r = 1 − cos θ (1) Substitute ( r , θ ) in the Equation (1) as follows: r = 1 − cos θ (2) Substitute ( r , − θ ) in the Equation (1) as follows: r = 1 − cos ( − θ ) r = 1 − cos θ< b. To determine Graph the given limacon expression.

14th Edition

ISBN: 9780135420683

Author: Hass

Publisher: PEARSON

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Chapter 11.4, Problem 26E

To determine

Graph the given limacon expression.

To determine

Graph the given limacon expression.

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Chapter 11.4, Problem 25E

Chapter 11.4, Problem 27E

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