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\frac{\sin(\alpha -\pi )\tan(\alpha +2\pi )}{\cos(-\alpha +5\pi )\tan(-\alpha -\pi )\tan(-\alpha +3\pi )}
Factor the expressions that are not already factored.
\frac{-\sin(-\alpha -\pi )\tan(\alpha +2\pi )}{\cos(-\alpha +5\pi )\tan(-\alpha -\pi )\tan(-\alpha +3\pi )}
Extract the negative sign in SinI(\alpha -\pi ).
\frac{-\tan(\alpha +2\pi )}{\cos(-\alpha +5\pi )\tan(-\alpha +3\pi )\times \frac{1}{\cos(-\alpha -\pi )}}
Cancel out \sin(-\alpha -\pi ) in both numerator and denominator.
\frac{-\tan(\alpha )}{-\tan(\alpha )}
Expand the expression.
1
Cancel out -\tan(\alpha ) in both numerator and denominator.
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