Determine for what range of values of \(\theta\) between \(0\) and \(2\pi\) \[\sin\theta > \sin 3\theta.\]

Could we sketch the two curves \(y = \sin \theta\) and \(y = \sin(3\theta)\)?

If \(\sin A=\sin B\), what can we say about \(A\) and \(B\)?

Alternatively, can we express \(\sin 3\theta\) in terms of \(\sin\theta\)?