Jika tan alpha=3/4, tentukanlah sin 2alpha?

[tex] \tan( \alpha ) = \frac{3}{4} \\ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \frac{3}{4} \\ \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) \\ = 2(3)(4) = 24[/tex]