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To show: The graph of the polar equation , is a circle of radius with center at in rectangular coordinates.
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Explanation of Solution
Given:
It is asked to show that the graph of the polar equation , is a circle of radius with center at in rectangular coordinates.
It is a known fact that each point in the polar
To convert back and forth between polar and rectangular coordinates, we have the following formulas:
And
Consider ,
Let , the equation becomes
.
The equation becomes .
In rectangular coordinates, is a circle of radius with center at in rectangular coordinates.
In polar coordinates, is a circle of radius with center at in rectangular coordinates.
Hence proved.
Chapter 9 Solutions
Precalculus
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