Trigonometry (10th Edition)

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.1 Trigonometric Functions of Acute Angles - 2.1 Exercises: 69

Answer

$y$$_{1}$ = $\sin$ $y$$_{2}$ = $\tan$

Work Step by Step

We must verify the values in each column to each function. $\sin$ 0$^{\circ}$ = 0 $\sin$ 15$^{\circ}$ = .25882 $\sin$ 30$^{\circ}$ = $\frac{1}{2}$ = 0.5 $\sin$ 45$^{\circ}$ = $\frac{\sqrt2}{2}$ = 0.70711 $\sin$ 60$^{\circ}$ = $\frac{\sqrt3}{2}$ = 0.86603 $\sin$ 75$^{\circ}$ = $\frac{\sqrt3 + 2}{2\sqrt2}$ = 0.96593 $\sin$ 90$^{\circ}$ = 1 $\tan$ 0$^{\circ}$ = 0 $\tan$ 15$^{\circ}$ = .26795 $\tan$ 30$^{\circ}$ = $\frac{1}{\sqrt3}$ = .57735 $\tan$ 45$^{\circ}$ = 1 $\tan$ 60$^{\circ}$ = $\sqrt3$ = 1.7321 $\tan$ 75$^{\circ}$ = 3.7321 $\tan$ 90$^{\circ}$ = undefined
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