Trigonometry 7th Edition

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 304: 8

Answer

False

Work Step by Step

Testing the equation: $\tan{\dfrac{A}{2}} = \dfrac{\tan{A}}{2}$ for $A=60^\circ$ $LHS = \tan{30} =\dfrac{\sqrt{3}}{3}$ $RHS = \dfrac{\tan{60}}{2}= \dfrac{\sqrt{3}}{2}$ $LHS \neq RHS$ $\tan{\dfrac{A}{2}} \neq \dfrac{\tan{A}}{2}$
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