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Trigonometry

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Sine for $2 \theta$

TRIG-MXYWYG

If $\sin { \theta } =\cfrac { 3 }{ 5 }$ and ${ \theta }$ lies in Quadrant $I$, find $\sin { 2\theta }$.

A

$\cfrac { 3 }{ 5 }$

B

$\cfrac { 6 } { 5 }$

C

$\cfrac { 9 } { 25 }$

D

$\cfrac { 16 } { 25 }$

E

$\cfrac { 24 } { 25 }$