Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 2 - Acute Angles and Right Triangles - Section 2.3 Finding Trigonometric Function Values Using a Calculator - 2.3 Exercises - Page 64: 49

Answer

True

Work Step by Step

$\sin$ 50$^{\circ}$ = 2 $sin$ 25$^{\circ}$ $cos$ 25$^{\circ}$ $\sin$ 50$^{\circ}$ $\approx$ 0.76604444 $\sin$ 25$^{\circ}$ $\approx$ 0.42261826 $\cos$ 25$^{\circ}$ $\approx$ 0.90630779 2 $sin$ 25$^{\circ}$ $cos$ 25$^{\circ}$ = 2(0.42261826)(0.90630779) 2 $sin$ 25$^{\circ}$ $cos$ 25$^{\circ}$ $\approx$ 0.76604444 Therefore: $\sin$ 50$^{\circ}$ = 2 $sin$ 25$^{\circ}$ $cos$ 25$^{\circ}$
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