Answer
$\dfrac{1}{2+\sqrt{3}} $
Work Step by Step
$\tan{\dfrac{A}{2}} = \dfrac{\sin{A}}{1+\cos{A}} $
$\tan{15} = \dfrac{\sin{30}}{1+\cos{30}} = \dfrac{\dfrac{1}{2}}{1+\dfrac{\sqrt{3}}{2}}$
$\tan{15} = \dfrac{1}{2+\sqrt{3}} $
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: 40
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