   Chapter 10.4, Problem 51E

Chapter
Section
Textbook Problem

# Graphing a Polar Equation In Exercises 45-54, 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 sin 2 θ

To determine

To graph: The polar equation, r2=4sin2θ by the graphing utility and then find the interval θ over which the graph is traced only once.

Explanation

Given:

The polar equation is r2=4sin2θ.

Graph:

Consider the function r2=4sin2θ.

and it can be simplified to,

r2=4sin2θr=4sin2θ=±2sin2θ

to the Ti-83 calculator steps to sketch the graph of r2=4sin2θ is shown below:

Step 1: Press the ON key.

Step 2: Press the MODE key.

Step 3: Change the mode to polar.

Step 4: Press Y= key.

Step 5: Type the function, r1=2sin2θ,r2=2sin2θ

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