Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 2 - Section 2.2 - Calculators and Trigonometric Functions of an Acute Angle - 2.2 Problem Set - Page 72: 74

Answer

$\sin 33^{\circ}$ = $0.5446$ $\cos 57^{\circ}$ = $0.5446$ Thus, results justify the Cofunction Theorem.

Work Step by Step

Given pair is- $\sin 33^{\circ}$ , $\cos 57^{\circ}$ Using calculator in degree mode- (33 → $\sin$) and ( 57 → $\cos$) $\sin 33^{\circ}$ = $0.544639035$ Rounding to four places past the decimal point- $\sin 33^{\circ}$ = $0.5446$ $\cos 57^{\circ}$ = $0.544639035$ Rounding to four places past the decimal point- $\cos 57^{\circ}$ = $0.5446$ Hence- $\sin 33^{\circ}$ = $\cos 57^{\circ}$ Thus, results justify the Cofunction Theorem.
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