## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 6 - Section 6.4 - Graphs of Polar Equations - Exercise Set - Page 755: 77

#### Answer

If $\theta \,\max =2\pi$, the graph is drawn once.

#### Work Step by Step

From the plot, we can observe that from $\theta =0\,\text{to}\,\theta =2\pi$, the curve is plotted exactly once. Follow the steps Step 1. Open TI83 calculator. Step 2. Select MODE. In MODE select RADIAN and POLAR form. Step 3. Now, select Y=. Type the function in polar form $r=4\sin \left( 2\theta \right)$. Step 4. Press WINDOW option. Step 5. In WINDOW set range for x $\left( -4,4 \right)$. Set range for y $\left( -2.5,2.5 \right)$. Step 6. Set the scale for x and y as 1 and $\theta \,\text{step}\,\text{=}\,\text{0}\text{.1}$. Step 7. Press TRACE. Beyond $\theta =2\pi$, the curve retracts its path again.

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