Exercise 5.5.4 solution

\(\sin^2\theta – \sin \theta = 0\)

\(\sin \theta ( \sin \theta – 1 ) = 0\)

So either \(\sin \theta = 0\) or \(\sin \theta = 1\).

\(\sin \theta = 0\) for every multiple of \(\pi\). \(\sin A = 1\) for \(\frac{\pi}{2}\) plus every even multiple of \(\pi\).

So the solution is \(\theta = n\pi\) or \(\theta=\frac{\pi}{2} + 2 n\pi\).

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