Answer:
[tex] \frac{ - \sin( \alpha ) \cos( \alpha ) }{ - 2 \sin( \alpha ) \cos( \alpha ) } = \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] \tan( - \alpha ) = - \tan( \alpha ) [/tex]
[tex] \cos(\pi - \alpha ) = - \cos( \alpha ) [/tex]
[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) [/tex]
[tex] \sin(2\pi - 2 \alpha ) = - \sin(2 \alpha ) [/tex]