Answer
$\frac{2\sqrt 5}{5}$
Work Step by Step
Recall: $\sin(\arctan x)=\frac{x}{\sqrt {x^{2}+1}}$
$\implies \sin(\arctan 2)=\frac{2}{\sqrt {2^{2}+1}}=\frac{2}{\sqrt 5}=\frac{2\sqrt 5}{5}$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 5 - Section 5.4 - Half-Angle Formulas - 5.4 Problem Set - Page 305: 60
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