   Chapter 10.5, Problem 33E

Chapter
Section
Textbook Problem

# Writing Exercises 35 and 36, use a graphing utility to graph the polar equations and approximate the points of intersection of the graphs. Watch the graphs as they are traced in the viewing window. Explain why the pole is not a point of intersection obtained by solving the equations simultaneously. r = cos θ r = 2 − 3 sin θ

To determine

To graph: The polar equations r=cosθ, r=23sinθ and to approximate point of intersection of graph by the use of graphing utility and approximate point of intersection of graph. Also, give the reason that pole is not the point of intersection found by the calculation of the equations instantaneously.

Explanation

Given:

The provided polar equations r=cosθ and r=23sinθ.

Graph:

For the curve of polar equation use TI-83 as graphing utility and do the following steps:

Step 1:

Open TI-83 calculator.

Step 2:

Press MODE and select the Pol option.

Step 3:

Press Y=.

Step 4:

Enter the equations r1=cosθ and r2=23sinθ.

Step 5:

Press WINDOW to access window editor.

Step 6:

Set window as

θmin=0,θmax=2π,θstep=0

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