When is $\sin\theta > \sin 3\theta$?

Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

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 \(\sin\theta\)?