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Given: sin x = 7/25, cos x = 24/25, and tan x = 7/25. Find sin 2x

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Cromulentidn

It is given [tex]\sin{x} = \frac{7}{25}[/tex] and [tex]\cos{x} = \frac{24}{25}[/tex]

And we know that [tex]\sin{2x} = 2 \sin{x} \cos{x}[/tex]

Then [tex]\sin{2x} = 2 \cdot \frac{7}{25} \cdot \frac{24}{25} = \frac{2 \cdot 7 \cdot 24}{25 \cdot 25} = \frac{336}{625}[/tex]

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