Answer
$\frac{\sqrt3}{2}$.
Work Step by Step
$\tan{45^\circ}\cdot\cos{30^\circ}=\tan{\frac{\pi}{4}}\cdot\cos{\frac{\pi}{6}}=1\cdot\frac{\sqrt3}{2}=\frac{\sqrt3}{2}$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 6 - Trigonometric Functions - 6.2 Trigonometric Functions: Unit Circle Approach - 6.2 Assess Your Understanding - Page 379: 36
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