   Chapter 10, Problem 82RE

Chapter
Section
Textbook Problem

# Graphing a Polar Equation In Exercises 79-82, use a graphing utility to graph the polar equation. Find an interval for H over which the graph is traced only once. r = 4 ( sec θ − cos θ )

To determine

To graph: The polar equation r=4(secθcosθ) with the help of graphing utility. Also identify an interval over θ for which the graph is traced only once.

Explanation

Given:

The polar equation is r=4(secθcosθ).

Calculation:

Consider the equation, r=4(secθcosθ)

Use the Ti-83 calculator to draw the graph. The steps are as follows:

Step 1: Press the [MODE] key. Use the arrow keys to select Radian and press the [ENTER] key. Again, use the arrow key to select Pol and press the [ENTER] key.

Step 2: Press the [Y=] key.

Step 3: To the right of r1, type  press [(] key twice and type 1. Press the [÷] key and [COS] key followed by [ALPHA] key and then  to enter θ

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