\require{AMSmath}

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}
$

p2007img1.gif

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


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