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    Graph of polar equation

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    Inspect the four given graphs, which are plotted in polar coordinates (and shown in an attached .doc file), and choose the graph that corresponds to the polar equation r = 6 - (cos theta).

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    https://brainmass.com/math/graphs-and-functions/graph-polar-equation-30979

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    We will use characteristics of the given polar equation to identify the graph that corresponds to the given equation.

    Since the value of the function cos theta ranges from -1 to +1, the value of r ranges from 6 - 1 (= 5) to 6 - (-1) (= 6 + 1 = 7), so every point of the graph of r = 6 - (cos theta) will be plotted at a distance of 5 to 7 units from the origin.

    Using that fact, we can immediately eliminate graph A, since all the points of graph A are less than 5 units ...

    Solution Summary

    Characteristics of three of the given graphs are used to eliminate them as candidates for the graph of the given equation, and a few key points of the remaining graph are checked and verified.

    $2.19

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