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: 36

Answer

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

Work Step by Step

(a) $csc~30°=\frac{1}{sin~30°}=\frac{1}{\frac{1}{2}}=2$ (b) $cot~60°=tan(90°-60°)=tan~30°=\frac{\sqrt 3}{3}$ (c) $cos^230°+sin^230°=1$ $cos^230°=1-(\frac{1}{2})^2=\frac{3}{4}$ $cos~30°=\frac{\sqrt 3}{2}$ (d) $cot~30°=\frac{1}{tan~30°}=\frac{1}{\frac{\sqrt 3}{3}}=\frac{3}{\sqrt 3}=\sqrt 3$
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.