Answer
$-2-\sqrt 3$
Work Step by Step
$tan105^\circ=-tan75^\circ=-tan\frac{150^\circ}{2}
=-\frac{1-cos150^\circ}{sin150^\circ}
=-\frac{1+\sqrt 3/2}{1/2}=-2-\sqrt 3$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 6 - Analytic Trigonometry - Chapter Review - Review Exercises - Page 528: 46
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