Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.5 Polar Equations and Graphs - 8.5 Exercises - Page 395: 48

Answer

$r = 8+6~cos~\theta$ This graph is a cardiod. We can see this graph below:
1530952843

Work Step by Step

$r = 8+6~cos~\theta$ When $\theta = 0^{\circ}$, then $r = 8+6~cos~0 = 14$ When $\theta = 60^{\circ}$, then $r = 8+6~cos~60^{\circ} = 11$ When $\theta = 90^{\circ}$, then $r = 8+6~cos~90^{\circ} = 8$ When $\theta = 120^{\circ}$, then $r = 8+6~cos~120^{\circ} = 5$ When $\theta = 180^{\circ}$, then $r = 8+6~cos~180^{\circ} = 2$ When $\theta = 240^{\circ}$, then $r = 8+6~cos~240^{\circ} = 5$ When $\theta = 270^{\circ}$, then $r = 8+6~cos~270^{\circ} = 8$ When $\theta = 300^{\circ}$, then $r = 8+6~cos~300^{\circ} = 11$ This graph is a cardiod. We can see this graph below:
Small 1530952843
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