Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Section 5.2 Trigonometric Functions: Unit Circle Approach - 5.2 Assess Your Understanding - Page 403: 62

Answer

1. $sin(5\pi)= 0$. 2. $cos(5\pi)= -1$. 3. $tan(5\pi)= 0$. 4. $cot(5\pi)= undefined$. 5. $sec(5\pi)= -1$. 6. $csc(5\pi)= undefined$.

Work Step by Step

1. $sin(5\pi)=sin(4\pi+\pi)=sin\pi=0$. 2. $cos(5\pi)=cos(4\pi+\pi)=cos\pi=-1$. 3. $tan(5\pi)=tan(4\pi+\pi)=tan\pi=0$. 4. $cot(5\pi)=cot(4\pi+\pi)=cot\pi=undefined$. 5. $sec(5\pi)=\frac{1}{cos(5\pi)}=-1$. 6. $csc(5\pi)=\frac{1}{sin(5\pi)}=undefined$.
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