Answer
$1$
Work Step by Step
$\tan \alpha \times \cot \alpha =\dfrac {\sin \alpha }{\cos \alpha }\times \dfrac {\cos \alpha }{\sin \alpha }=1$
Therefore,
$\tan 10^o\times \cot 10^o=1$
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 - 6.3 Properties of the Trigonometric Functions - 6.3 Assess Your Understanding - Page 395: 80
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