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 444: 74

Answer

False. $csc~30°=\frac{1}{sin~30°}=\frac{1}{\frac{1}{2}}=1\frac{2}{1}=2$ $sec~30°=\frac{1}{cos~30°}=\frac{1}{\frac{\sqrt 3}{2}}=1\frac{2}{\sqrt 3}=\frac{2}{\sqrt 3}\frac{\sqrt 3}{\sqrt 3}=\frac{2\sqrt 3}{3}$

Work Step by Step

Remember $sec~30°=\frac{1}{cos~30°}$ and $csc~30°=\frac{1}{sin~30°}$, but $sin~30°\ne cos~30°$
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