Question

If $\tan x=\frac{3}{4},0<x<{90}^{\circ }$, then what is the value of $\sin x\cos x$?

• A. $\frac{3}{5}$
• B. $\frac{4}{5}$
• C. $\frac{12}{25}$
• D. $\frac{13}{25}$

Answer 1

The correct option is C $\frac{12}{25}$

$\tan x=\frac{3}{4}$ so $\sin x=\frac{3}{5}$ and $\cos x=\frac{4}{5}$
$\Rightarrow \sin x\cos x=\frac{12}{25}$