Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 2 - Acute Angles and Right Triangles - Section 2.1 Trigonometric Functions of Acute Angles - 2.1 Exercises - Page 56: 82

Answer

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Work Step by Step

From the right angle sketched, $\sin45^{\circ}=\frac{\text{opposite side}}{\text{hypotenuse}}=\frac{PM}{OP}=\frac{PM}{4}$ $\implies PM=4\sin45^{\circ}$ Similarly, $\cos45^{\circ}=\frac{\text{adjacent side}}{\text{hypotenuse}}=\frac{OM}{OP}=\frac{OM}{4}$ $\implies OM=4\cos45^{\circ}$
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