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: 30

Answer

(a) We can see the point plotted on the graph below. (b) We can write two pairs of polar coordinates for this point: $(2, 135^{\circ})$ $(-2, 315^{\circ})$
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Work Step by Step

$(-\sqrt{2}, \sqrt{2})$ (a) We can see the point plotted on the graph below. (b) $r = \sqrt{(-\sqrt{2})^2+(\sqrt{2})^2} = 2$ We can find the angle $\phi$ above the negative x-axis: $tan~\phi = \frac{\sqrt{2}}{\sqrt{2}}$ $\phi = arctan(\frac{\sqrt{2}}{\sqrt{2}})$ $\phi = 45^{\circ}$ We can write two pairs of polar coordinates for this point: $(2, 135^{\circ})$ $(-2, 315^{\circ})$
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