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: 73

Answer

$\sin 23^{\circ}$ = $0.3907$ $\cos 67^{\circ}$ = $0.3907$ Thus, results justify the Cofunction Theorem.

Work Step by Step

Given pair is- $\sin 23^{\circ}$ , $\cos 67^{\circ}$ Using calculator in degree mode- (23 → $\sin$) and ( 67 → $\cos$) $\sin 23^{\circ}$ = $0.3907311285$ Rounding to four places past the decimal point- $\sin 23^{\circ}$ = $0.3907$ $\cos 67^{\circ}$ = $0.3907311285$ Rounding to four places past the decimal point- $\cos 67^{\circ}$ = $0.3907$ Hence- $\sin 23^{\circ}$ = $\cos 67^{\circ}$ Thus, results justify the Cofunction Theorem.
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