Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.4 - Introduction to Identities - 1.4 Problem Set - Page 41: 64

Answer

b. $\frac{\sqrt 5}{2}$

Work Step by Step

Given- $\sin\theta$ = $\frac{\sqrt 5}{3}$ $\cos\theta$ = $\frac{2}{3}$ By ratio identity- $\tan\theta$ = $\frac{\sin\theta}{\cos\theta}$ Substituting the values of $\sin\theta$ and $\cos\theta$- $\tan\theta$ = $\frac{\sqrt 5/3}{ 2/3}$ = $\frac{\sqrt 5}{2}$
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