Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 7 - Section 7.2 - Addition and Subtraction Formulas - 7.2 Exercises - Page 551: 19

Answer

$\sqrt{3}$

Work Step by Step

We use the subtraction formula for tangent, $\tan(s-t)=\frac{\tan s-\tan t}{1+\tan s \tan t}$, with $s=73^\circ$ and $t=13^\circ$. $\frac{\tan 73^\circ-\tan 13^\circ}{1+\tan 73^\circ \tan 13^\circ}$ $=\tan(73^\circ-13^\circ)$ $=\tan(60^\circ)$ $=\sqrt{3}$
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