Trigonometry 7th Edition

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

Chapter 6 - Section 6.2 - More on Trigonometric Equations - 6.2 Problem Set - Page 334: 72


( d )

Work Step by Step

$csc(\theta)-2cot(\theta)=0$ $\frac{1}{sin(\theta)}-2\frac{cos(\theta)}{sin(\theta)}=0\;\;\;\;\;\;\;\;\;$Multiply by $sin(\theta)$ $1-2cos(\theta)=0$ $2cos(\theta)=1$ $cos(\theta)=\frac{1}{2}$ So choice $(d)$ is the right solution because when solved the equation step by step we found $cos(\theta)=\frac{1}{2}$.
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