Answer
$\frac{23}{25}$
Work Step by Step
$\cos^{2}\theta= 1-\sin^{2}\theta=1-\frac{1}{25}=\frac{24}{25}$
$\cos 2\theta=\cos^{2}\theta-\sin^{2}\theta=\frac{24}{25}-\frac{1}{25}=\frac{23}{25}$
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