Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.2 Trigonometric Functions: Unit Circle Approach - 6.2 Assess Your Understanding - Page 379: 62

Answer

$sin(t) =0$, $cos(t) =-1$, $tan(t) =0$, $cot(t) =undefined$, $sec(t) =-1$, $csc(t) = undefined$.

Work Step by Step

Given $t=5\pi=4\pi+\pi$, the terminal side is on the $-x$-axis with $t_0=0$ to the $-x$-axis , we have: $sin(t)=sin(t_0)=0$, $cos(t)=-cos(t_0)=-1$, $tan(t)=-tan(t_0)=0$, $cot(t)=-cot(t_0)=undefined$, $sec(t)=-sec(t_0)=-1$, $csc(t)=csc(t_0)= undefined$.
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