## 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: 66

$sin$$\frac{\theta}{2} is positive in the interval (90^{\circ},180^{\circ}). #### Work Step by Step \theta is in the interval (90^{\circ},180^{\circ}) Therefore: \frac{\theta}{2} \leq 90^{\circ} Therefore, \frac{\theta}{2} exists in Quadrant 1. All trigonometric functions are positive in Quadrant 1. Therefore sin$$\frac{\theta}{2}$ is positive in the interval (90$^{\circ}$,180$^{\circ}$).

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