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 - Page 53: 70

Answer

$y$$_{1}$ = $\cos$ $y$$_{2}$ = $\csc$

Work Step by Step

We must verify the values in each column to each function. $\cos$ 0$^{\circ}$ = 1 $\cos$ 30$^{\circ}$ = $\frac{\sqrt3}{3}$ = 0.57735 $\cos$ 45$^{\circ}$ = $\frac{\sqrt2}{2}$ = 0.70711 $\cos$ 60$^{\circ}$ = $\frac{1}{2}$ = 0.5 $\cos$ 90$^{\circ}$ = 0 $\csc$ 0$^{\circ}$ = Undefined $\csc$ 30$^{\circ}$ = 2 $\csc$ 45$^{\circ}$ = $\sqrt2$ = 1.41421 $\csc$ 60$^{\circ}$ = $\frac{2}{\sqrt3}$ = 1.15470 $\csc$ 90$^{\circ}$ = 1
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