Review question

# When is $\sin x$ or $\sin 2x$ larger than a half? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5199

## Question

The fraction of the interval $0\leq x \leq 2\pi$, for which one (or both) of the inequalities $\sin x \geq\frac{1}{2}, \qquad \sin 2x \geq \frac{1}{2}$ is true, equals

1. $\dfrac{1}{3}$;

2. $\dfrac{13}{24}$;

3. $\dfrac{7}{12}$;

4. $\dfrac{5}{8}$.