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: 25

Answer

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

Work Step by Step

$(1, -1)$ (a) We can see the point plotted on the graph below. (b) $r = \sqrt{(1)^2+(-1)^2} = \sqrt{2}$ We can find the angle $x$ below the positive x-axis: $tan~x = \frac{1}{1}$ $x = arctan(\frac{1}{1})$ $x = 45^{\circ}$ We can write two pairs of polar coordinates for this point: $(\sqrt{2}, 315^{\circ})$ $(-\sqrt{2}, 135^{\circ})$
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