Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.4 Trigonometric Functions - Exercises - Page 30: 31


$$\cos \psi= 0.3, \quad \sin\psi= 0.95$$ $$\cot\psi=0.32, \quad \csc\psi= 1.05.$$

Work Step by Step

By making use of the Pythagorean theorem, we have $$\cos \psi=\frac{0.3}{1}=0.3, \quad \sin\psi=\frac{\sqrt{1-0.3^2}}{1}=0.95$$ $$\cot\psi=\frac{\cos \psi}{\sin\psi}=\frac{0.3}{0.95}=0.32, \quad \csc\psi=\frac{1}{\sin\psi}=\frac{1}{0.95}=1.05.$$
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