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Q16.

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Found in: Page 592

### Precalculus Mathematics for Calculus

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

# 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 $r<0$and the other with $r>0$$\left(3,1\right)$

The graph of a given point,

The other two points are,$\left(-3,1+\pi \right)$$\left(3,1+2\pi \right)$

See the step by step solution

## Step 1. Given information

A point in polar coordinates as $\left(3,1\right)$

## 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 $r>o$, add$2\pi$ into the coordinate-

$⇒\left(3,1+2\pi \right)$

For$r , change the sign of radius and add $\pi$to angle given-

$⇒\left(-3,1+\pi \right)$

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