Determine the range of values of \( \theta \in[0,2 \pi] \) for whic...

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Determine the range of values of \( \theta \in[0,2 \pi] \) for which \( (\cos \theta, \sin \theta) \) lies inside the triangle formed by the lines \( x+y-2=0, x-y-1=0 \) and \( 6 x+2 y-\sqrt{10}=0 \).
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