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 394: 36

Answer

(a) We can see the point plotted on the graph below. (b) We can write two pairs of polar coordinates for this point: $(1, 300^{\circ})$ $(-1, 120^{\circ})$
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Work Step by Step

$(\frac{1}{2}, -\frac{\sqrt{3}}{2})$ (a) We can see the point plotted on the graph below. (b) $r = \sqrt{(\frac{1}{2})^2+(-\frac{\sqrt{3}}{2})^2} = 1$ We can find the angle $\phi$ below the positive x-axis: $tan~\phi = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$ $\phi = arctan(\sqrt{3})$ $\phi = 60^{\circ}$ We can write two pairs of polar coordinates for this point: $(1, 300^{\circ})$ $(-1, 120^{\circ})$
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