uitwerking c.
$\eqalign{
& 2 - \sin \left( {\frac{{2\pi }}{3}\left( {x - 1} \right)} \right) = 1 \cr
& - \sin \left( {\frac{{2\pi }}{3}\left( {x - 1} \right)} \right) = - 1 \cr
& \sin \left( {\frac{{2\pi }}{3}\left( {x - 1} \right)} \right) = 1 \cr
& \frac{{2\pi }}{3}\left( {x - 1} \right) = \frac{1}{2}\pi + k \cdot 2\pi \cr
& x - 1 = \frac{3}{4} + k \cdot 3 \cr
& x = 1\frac{3}{4} + k \cdot 3 \cr
& Dus: \cr
& x = 1\frac{3}{4} \vee x = 4\frac{3}{4} \vee x = 7\frac{3}{4} \cr} $
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