Answer
$ \frac{2+\sqrt 3}{4}$
Work Step by Step
$sin75^\circ cos15^\circ=\frac{1}{2}[sin(75^\circ +15^\circ)+sin(75^\circ -15^\circ)]=\frac{1}{2}[sin(90^\circ )+sin(60^\circ)]
=\frac{1}{2}[1+\frac{\sqrt 3}{2}]=\frac{2+\sqrt 3}{4}$
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 Test - Page 529: 22
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