   Chapter 10.4, Problem 48E

Chapter
Section
Textbook Problem

# Graphing a Polar Equation In Exercises 43–52, use a graphing utility to graph the polar equation. Find an interval for θ over which the graph is traced only once. r = 2 4 − 3 sin   θ

To determine

To graph: The polar equation r=243sinθ with the help of graphing utility and then find an interval for θ where the graph is plotted only once.

Explanation

Given:

The polar equation is r=243sinθ.

Graph:

Consider the polar equation,

r=243sinθ

The polar equation can be drawn with the help of graphing utility in Maple as shown below:

Interpretation:

The graph of the function is in oval shape.

Now find the interval for θ where the graph is plotted only once.

Make the table for different values of the θ as shown below:

 θ 0 π2 π 3π2 2π 5π2

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