Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Section 5.1 Angles and Their Measures - 5.1 Assess Your Understanding - Page 386: 34

Answer

$44^{\circ} 0^{'} 36^{"}$

Work Step by Step

RECALL: $1^{\circ} = 60^{'} \text{ and } 1^{'} = 60^{"}$ \begin{equation} \begin{split} $44.01^{\circ} &= 44^{\circ}+0.01^{\circ} \\ & = 44^{\circ} + 0.01 \times (1)^{\circ} \\ & = 44^{\circ}+0.01 \times (60)^{'} \\ & = 44^{\circ}+0.6^{'} \\ & = 44^{\circ}+0^{'}+0.6^{'} \\ & = 44^{\circ}+0^{'}+0.6 \times (1)^{'} \\ & = 44^{\circ}+0^{'}+0.6 \times (60)^{"} \\ & = 44^{\circ}+0^{'}+ 36^{"} \end{split} \end{equation} Thus, $44.01^{\circ} = 44^{\circ} 0^{'} 36^{"}$
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