   Chapter 10, Problem 80RE

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 = 2 sin θ cos 2 θ

To determine

To graph: The polar equation r=2sinθcos2θ with the help of graphing utility and also identify the interval over θ for which the graph is traced only once.

Explanation

Given:

The polar equation is r=2sinθcos2θ.

Calculation:

Consider the polar equation, r=2sinθcos2θ

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 2. Press the [SIN] key, [ALPHA] key and then press  key to enter θ

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