Answer
$\frac{2\sqrt3}{3}$.
Work Step by Step
$\sec{30^\circ}\cdot\cot{45^\circ}=\sec{\frac{\pi}{6}}\cdot\cot{\frac{\pi}{4}}=\frac{2}{\sqrt3}\cdot1=\frac{2\sqrt3}{3}$.
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: 38
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