Trigonometry 7th Edition

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

Chapter 5 - Section 5.2 - Sum and Difference Formulas - 5.2 Problem Set - Page 289: 47

Answer

$1$

Work Step by Step

$\tan{(A+B)} = \dfrac{\tan{A}+\tan{B}}{1- \tan{A} \tan{B}}$ $3 = \dfrac{\tan{A}+0.5}{1- 0.5\tan{A} }$ $3- 1.5 \tan{A} = 0.5+ \tan{A}$ $2.5 = 2.5 \tan{A}$ $\tan{A} = 1$
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