Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 2 - Acute Angles and Right Triangles - Section 2.3 Finding Trigonometric Function Values Using a Calculator - 2.3 Exercises: 46

Answer

Since $a$ is multiplied by $\cos$ $\theta$ the result will always be less that $a$.

Work Step by Step

$\cos$ $\theta$ = $\frac{r}{a}$ Therefore: $r$ = $a$ $\cos$$\theta$ Since the angle of offset($\theta$) exists between 0$^{\circ}$ and 90$^{\circ}$, $\cos$ $\theta$ will always be less than or equal to 1. Since $a$ is multiplied by $\cos$ $\theta$ the result will always be less that $a$.
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