## Trigonometry (10th Edition)

Published by Pearson

# Chapter 2 - Acute Angles and Right Triangles - Section 2.2 Trigonometric Functions of Non-Acute Angles - 2.2 Exercises: 69

#### Answer

$sin$ (-$\theta$) is negative in the interval (90$^{\circ}$,180$^{\circ}$).

#### Work Step by Step

$\sin$(-$\theta$) $\theta$ is in the interval (90$^{\circ}$,180$^{\circ}$) Therefore: $\theta$ exists in Quadrant II. Therefore, -$\theta$ exists in Quadrant III. All trigonometric functions are negative in Quadrant III, except for $\tan$ and $\cot$. Therefore $sin$ (-$\theta$) is negative in the interval (90$^{\circ}$,180$^{\circ}$).

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