Explanation Given: It is asked to write the two different tests for symmetry with respect to the polar axis. Give examples in such a way that one test works and the other fails. Conclude the most preferable test with justification. Check for symmetry test: Polar axis: If the point ( r , θ ) lies on the graph, then the point ( r , − θ ) or ( − r , π − θ ) also lies on the graph.3 Consider the example r = sin ( 2 θ ) , Replace θ by − θ , r = sin ( 2 ( − θ ) ) = − sin ( 2 θ ) . This test fails. Replace r by − r and θ by π − θ , − r = sin ( π −

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Author: Michael Sullivan

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Chapter 9.2, Problem 94AYU

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Write the two different tests for symmetry with respect to the polar axis. Give examples in such a way that one test works and the other fails. Conclude the most preferable test with justification.

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Chapter 9.2, Problem 93AYU

Chapter 9.2, Problem 95AYU

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Chapter 9 Solutions

Precalculus

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Write the two different tests for symmetry with respect to the polar axis. Give examples in such a way that one test works and the other fails. Conclude the most preferable test with justification.

Solution Summary: The author explains how to write two different tests for symmetry with respect to the polar axis, and concludes the most preferable test with justification.

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Write the two different tests for symmetry with respect to the polar axis. Give examples in such a way that one test works and the other fails. Conclude the most preferable test with justification.

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Chapter 9 Solutions