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Math·Geometry and Trigonometry·Right triangles and trigonometry

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The measure of angle $A$ is $\frac{\pi }{282}$ radians. The measure of angle $B$ is 47 times the measure of angle $A$. What is the value of $\cos B$?

A

$0$

B

$\frac{1}{2}$

C

$\frac{\sqrt{2}}{2}$

D

$\frac{\sqrt{3}}{2}$