[tex] \frac{ \sin(2 \alpha ) }{2 \sin( \alpha ) } - \cos( \alpha ) = \\ \frac{2 \sin( \alpha ) \cos( \alpha ) }{2 \sin( \alpha ) } - \cos( \alpha ) = \\ \cos( \alpha ) - \cos( \alpha ) = 0[/tex]
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[tex] \frac{ \sin(2 \alpha ) }{2 \sin( \alpha ) } - \cos( \alpha ) = \\ \frac{2 \sin( \alpha ) \cos( \alpha ) }{2 \sin( \alpha ) } - \cos( \alpha ) = \\ \cos( \alpha ) - \cos( \alpha ) = 0[/tex]