
To sketch the graph of the given polar equation and express the equation in rectangular coordinates −

Answer to Problem 31E
The graph of polar equation is
The equation in rectangular coordinates is .
Explanation of Solution
Given: Polar equation:
Formula Used:
A polar equation is any equation that describes a relation between r and θ , where r represents the distance from the pole (origin) to a point on a curve, and θ represents the counter-clockwise angle made by a point on a curve, the pole, and the positive x-axis.
Also,
Calculation:
Given Polar equation is
Drawing the polar-form curve for
Now, to express the equation in rectangular coordinates, we have:
From the above given formulas, we have:
Conclusion:
Hence, the graph of polar equation is
The equation in rectangular coordinates is .
Chapter 8 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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