Question

The greatest value of $\left(\sin \alpha \cos \alpha \right)$ is

• A. $1$
• B. $\frac{1}{2}$
• C. $\frac{1}{4}$
• D. $2$

Answer 1

The correct option is B $\frac{1}{2}$

$\sin \alpha \cos \alpha =\frac{1}{2}\sin 2\alpha$ and greatest value of $\sin A$ is $1$
$\therefore$ the maximum value of $\sin \alpha \cos \alpha$ is $\frac{1}{2}$