Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 3 - Section 3.1 - Reference Angle - 3.1 Problem Set - Page 122: 83



Work Step by Step

Given- $\cot\theta$ = - $1$ , $\theta$ belongs to Q IV We will find reference angle of $\theta$ first using positive value '$1$' and reference angle theorem- $\cot\theta$ = - $1$ = - $\cot 45^{\circ}$ (As $\cot 45^{\circ}$ = $1$) Therefore by reference angle theorem, $45^{\circ}$ is the reference angle for desired angle $\theta$ The desired angle $\theta$ is in Q IV, Also $0^{\circ}\leq \theta\lt 360^{\circ}$ Therefore- $\theta$ = $360^{\circ} - 45^{\circ}$ = $315^{\circ}$
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