Chapter 9: Q 35. (page 747)

Find the smallest interval necessary to draw a complete graph of the functions in Exercises $33 - 38$ and then graph each function using a graphing calculator or computer algebra system.
$r = \frac{4 \cos θ + \cos 9 θ}{\cos θ}$

Short Answer

Expert verified

$[0, \frac{π}{2}) \cup (\frac{π}{2}, \frac{3 π}{2}) \cup (\frac{3 π}{2}, 2 π]$

Step by step solution

Given information

$r = \frac{4 \cos θ + \cos 9 θ}{\cos θ}$

Explanation

Consider the polar equation $r = \frac{4 \cos θ + \cos 9 θ}{\cos θ}$ The goal is to draw the graph of the polar equation supplied.

We will draw the graph here using a graphing calculator.

If we look at the graph, we can see that it repeats itself over a period of time. $[0, \frac{π}{2}) \cup (\frac{π}{2}, \frac{3 π}{2}) \cup (\frac{3 π}{2}, 2 π]$ Therefore, the answer is $[0, \frac{π}{2}) \cup (\frac{π}{2}, \frac{3 π}{2}) \cup (\frac{3 π}{2}, 2 π]$

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Find the smallest interval necessary to draw a complete graph of the functions in Exercises $33 - 38$ and then graph each function using a graphing calculator or computer algebra system.
$r = \frac{4 \cos θ + \cos 9 θ}{\cos θ}$

Short Answer

Step by step solution

Given information

Explanation

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Find the smallest interval necessary to draw a complete graph of the functions in Exercises 33–38and then graph each function using a graphing calculator or computer algebra system.r=4cosθ+cos9θcosθ

Short Answer

Step by step solution

Given information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Probability and Statistics

Statistics

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Find the smallest interval necessary to draw a complete graph of the functions in Exercises $33 - 38$ and then graph each function using a graphing calculator or computer algebra system.
$r = \frac{4 \cos θ + \cos 9 θ}{\cos θ}$