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Precalculus Mathematics for Calculus
Found in: Page 592
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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Short Answer

Different Polar Coordinates for the Same Point Plot the point that has the given polar coordinates. Then give two other polar coordinate representations of the point, one with r<0and the other with r>0(3,1)

The graph of a given point,

The other two points are,(3,1+π)(3,1+2π)

See the step by step solution

Step by Step Solution

Step 1. Given information

A point in polar coordinates as (3,1)

Step 2. Concept used

The point is plotted or presented on a graph using the polar coordinate system. The radius is represented by the first coordinate, while the angle is represented by the second.

Step 3. Calculation

Now plot the point on the graph,

Now for r>o, add2π into the coordinate-


Forr<o , change the sign of radius and add πto angle given-


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