Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.2 - Right Triangle Trigonometry - 6.2 Exercises - Page 442: 35

Answer

(a) $sin~30°=\frac{1}{2}$ (b) $cos~30°=\frac{\sqrt 3}{2}$ (c) $tan~60°=\sqrt 3$ (d) $cot~60°=\frac{\sqrt 3}{3}$

Work Step by Step

(a) $sin~30°=cos(90°-30°)=cos~60°=\frac{1}{2}$ (b) $cos~30°=sin(90°-30)=sin~60°=\frac{\sqrt 3}{2}$ (c) $tan~60°=\frac{sin~60°}{cos~60°}=\frac{\frac{\sqrt 3}{2}}{\frac{1}{2}}=\sqrt 3$ (d) $cot~60°=\frac{cos~60°}{sin~60°}=\frac{\frac{1}{2}}{\frac{\sqrt 3}{2}}=\frac{1}{\sqrt 3}=\frac{\sqrt 3}{3}$
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