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 378: 13

Answer

$sin(t) =\frac{1}{2}$, $cos(t) =\frac{\sqrt 3}{2}$, $tan(t) =\frac{\sqrt 3}{3}$, $cot(t) =\sqrt 3$, $sec(t) =\frac{2\sqrt 3}{3}$, $csc(t) =2$.

Work Step by Step

Given $x=\frac{\sqrt 3}{2}, y=\frac{1}{2}, r=1$, we have: $sin(t)=y=\frac{1}{2}$, $cos(t)=x=\frac{\sqrt 3}{2}$, $tan(t)=\frac{y}{x}=\frac{\sqrt 3}{3}$, $cot(t)=\frac{x}{y}=\sqrt 3$, $sec(t)=\frac{1}{x}=\frac{2\sqrt 3}{3}$, $csc(t)=\frac{1}{y}=2$.
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