Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Review Exercises - Page 42: 26

Answer

$\sin180^{\circ}=\frac{y}{r}=\frac{0}{1}=0$ $\cos180^{\circ}=\frac{x}{r}=\frac{-1}{1}=-1$ $\csc180^{\circ}=\frac{r}{y}=\frac{1}{0}=undefined$ $\sec180^{\circ}=\frac{r}{x}=\frac{1}{-1}= -1$ $\tan180^{\circ}=\frac{y}{x}=\frac{0}{-1}=0$ $\cot180^{\circ}=\frac{x}{y}=\frac{-1}{0}=undefined$

Work Step by Step

The angle 180 degrees with (x,y) coordinates (-1; 0) $r=\sqrt {x^{2}+y^{2}}=\sqrt {(-1)^{2}+(0)^{2}}=\sqrt {1}=1$
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