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: 42

Answer

2 $\sin$ 36$^{\circ}$ 13' $\cos$ 25$^{\circ}$ 13' - $\sin$ 50$^{\circ}$ 26' $\approx$ 0

Work Step by Step

2 $\sin$ 36$^{\circ}$ 13' $\cos$ 25$^{\circ}$ 13' - $\sin$ 50$^{\circ}$ 26' Convert minutes to decimals: $\frac{13}{60}$ = 0.2166 $\frac{13}{60}$ = 0.2166 $\frac{26}{60}$ = 0.4333 Therefore: 2 $\sin$ 36.2166$^{\circ}$ $\cos$ 25.2166$^{\circ}$ - $\sin$ 50.4333$^{\circ}$ Utilizing a calculator: 2 $\sin$ 36.2166$^{\circ}$ $\cos$ 25.2166$^{\circ}$ - $\sin$ 50.4333$^{\circ}$ $\approx$ (0.8521)(0.9047) - 0.7709 $\approx$ 0.7709 - 0.7709 $\approx$ 0 Therefore: 2 $\sin$ 36$^{\circ}$ 13' $\cos$ 25$^{\circ}$ 13' - $\sin$ 50$^{\circ}$ 26' $\approx$ 0
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.