Question

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

Answer 1

It is given $\sin{x} = \frac{7}{25}$ and $\cos{x} = \frac{24}{25}$

And we know that $\sin{2x} = 2 \sin{x} \cos{x}$

Then $\sin{2x} = 2 \cdot \frac{7}{25} \cdot \frac{24}{25} = \frac{2 \cdot 7 \cdot 24}{25 \cdot 25} = \frac{336}{625}$