Answer
$\frac{1}{4}$
Work Step by Step
Given-
$\sec B$ = 2
We know from reciprocal identity that-
$\cos B$ = $\frac{1}{\sec B}$ = $\frac{1}{2}$
Therefore
$\cos^{2} B$ = $(\frac{1}{2})^{2}$ = $\frac{1}{4}$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 2 - Section 2.3 - Solving Right Triangles - 2.3 Problem Set - Page 83: 69
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