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Trigonometry

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Double Cosine in Quadrant $I$

TRIG-RKYPIW

If $\sin { \theta } =\cfrac { 12 }{ 13 }$ and ${ \theta }$ lies in Quadrant $I$, find $\cos { 2\theta }$.

A

$\cfrac{25}{169}$

B

$-\cfrac{7}{13}$

C

$\cfrac { 10 } { 13 }$

D

$-\cfrac{119}{169}$

E

$-\cfrac { 161 } { 169 }$