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Trigonometry

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Moderate

Exact Sine Value

TRIG-TBGDKY

The terminal side of an angle $ \theta$, in standard position, passes through the point A at $ \left( 3,-4 \right)$.

Find the exact value of $\sin{ \theta}$.

A

$\sin { \theta =\cfrac { 3 }{ 5 } }$

B

$\sin { \theta =\cfrac { 5 }{ -4 } }$

C

$\sin { \theta =\cfrac { -4 }{ 5 } }$

D

$\sin { \theta =\cfrac { -3 }{ 5 } }$