Goniometrische vergelijking

Naar aanleiding van Goniometrische vergelijking had ik zoiets:

\eqalign{   & \cos \left( {2\pi t} \right) = \cos \left( {\frac{1} {6}\pi t} \right)  \cr   & 2\pi t = \frac{1} {6}\pi t + k \cdot 2\pi  \vee 2\pi t =  - \frac{1} {6}\pi t + k \cdot 2\pi   \cr   & 1\frac{5} {6}\pi t = k \cdot 2\pi  \vee 2\frac{1} {6}\pi t = k \cdot 2\pi   \cr   & t = k \cdot \frac{{12}} {{11}} \vee t = k \cdot \frac{{12}} {{13}} \cr}

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\eqalign{t = 0 \vee t = \frac{{12}} {{13}} \vee t = \frac{{12}} {{11}} \vee t = 1\frac{11} {{13}} \vee t = \,2\frac{2} {{11}} \vee t = \,2\frac{{10}} {{13}}}

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