Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Section 8.2 Polar Equations and Graphs - 8.2 Assess Your Understanding - Page 607: 81

Answer

See below.

Work Step by Step

Use the relation $r\ sin\theta=y $, we have $r\ sin\theta=a\Longrightarrow y=a$ in rectangular coordinates. This means that, when $a\ge0$, it is a horizontal line $a$ units above the pole; when $a\lt0$, it is a horizontal line $|a|$ units below the pole.
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