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Trigonometry: Triangles to Functions

Review question

If $\sin X$ and $\cos Y$ are both negative, what can we say about $X + Y$?
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Ref: R7000

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Suggestion

Given that \(\sin 3z^\circ = k\), where \(0 < k < 1\), how many values of \(z\) lie between \(0\) and \(360\)?

How does \(\sin 3z^\circ\) relate to the function \(\sin z^\circ\)?

Could drawing a graph of \(y = \sin (3z)\) help us here?