Chapter 10.4, Problem 54E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
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 = 1 θ

To determine

To graph: The polar equation, r2=1θ by graphing utility and then find the interval θ over which the graph is traced only once.

Explanation

Given:

The polar equation is r2=1Î¸.

Graph:

Consider the function, r2=1Î¸.

and it can be simplified to,

r2=1Î¸r=1Î¸=Â±1Î¸

The Ti-83 calculator steps to sketch the graph of r2=1Î¸ byand 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 expression, r1=1Î¸,r2=âˆ’1Î¸

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