Answer
$2+\sqrt 3$
Work Step by Step
Using trigonometric identities, we have:
$tan75^\circ=tan(\frac{150^\circ}{2})=\frac{1-cos150^\circ}{sin150^\circ}=\frac{1-(-\frac{\sqrt 3}{2})}{\frac{1}{2}}=2+\sqrt 3$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 7 - Analytic Trigonometry - Chapter Review - Chapter Test - Page 507: 18
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