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Use a graphing utility to graph the polar equation. Find an interval for θ for which the graph is traced only once.

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Use a graphing utility to graph the polar equation. Find an interval for θ for which the graph is traced only once.

asked Feb 11, 2015 in TRIGONOMETRY by anonymous

1 Answer

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Step 1:

The polar equation is .

Construct a table for different values of .

Step 2:

Graph:

(1) Draw the polar co-ordinate plane.

(2) Plot the polar points.

(3) Connect the points to a smooth curve.

image

Observe the graph:

The graph of the curve is traced once between the intervals image.

Solution:

The graph of the polar equation is

image

answered Feb 14, 2015 by Lucy Mentor

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