Explanation Given: The polar equation is r = 2 − 2 cos θ . Graph: To check the symmetry with respect to the polar axis, replace θ by − θ in the provided equation. So, the provided equation becomes r = 2 − 2 cos ( − θ ) . We know that cos ( − θ ) = cos ( θ ) . Therefore, r = 2 − 2 cos ( − θ ) = 2 − 2 cos θ The equation r = 2 − 2 cos ( − θ ) does not change when θ is replaced by − θ . So, the provided equation is symmetric with respect to the polar axis. To check the symmetry with respect to the line π 2 , replace ( r , θ ) by ( − r , − θ ) in the provided equation. So, the provided equation becomes − r = 2 − 2 cos ( − θ ) . We know that cos ( − θ ) = cos ( θ ) . Therefore, − r = 2 − 2 cos ( − θ ) − r = 2 − 2 cos θ r = − 2 + 2 cos θ The equation − r = 2 − 2 cos ( − θ ) is not same as the provided equation when ( r , θ ) is replaced by ( − r , − θ )

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ISBN: 9781323765869

Author: Blitzer

Publisher: PEARSON

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Chapter 6.4, Problem 29MCCP

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To graph: The polar equation r=2−2cosθ and also check the symmetry.

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Chapter 6.4, Problem 28MCCP

Chapter 6.4, Problem 30MCCP

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Chapter 6 Solutions

PRECALCULUS ESSENTIALS-MYLAB ACCESS

Ch. 6.1 - Check Point 1 Solve the triangle shown in Figure...Ch. 6.1 - Check Point 2 Solve triangle ABC if , and b = 12....Ch. 6.1 - Check Point 3 Solve triangle ABC if A = a = 33,...Ch. 6.1 - Prob. 4CP Ch. 6.1 - Prob. 5CP Ch. 6.1 - Check Point 6 Find the area of a triangle having...Ch. 6.1 - Prob. 7CP Ch. 6.1 - Fill in each blank so that the resulting statement...Ch. 6.1 - Prob. 2CVC Ch. 6.1 - Prob. 3CVC

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To graph: The polar equation r = 2 − 2 cos θ and also check the symmetry.

To graph: The polar equation r=2−2cosθ and also check the symmetry.

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Chapter 6 Solutions