prove that
![\frac{1 + tan \alpha }{ \sec( \alpha ) ?} - \frac{ \sec( \alpha ) }{1 + \tan( \alpha ) } = \frac{2 \sin( \alpha \times \cos( \alpha ) ) }{ \sin alpha + \cos( \alpha ) ) } \frac{1 + tan \alpha }{ \sec( \alpha ) ?} - \frac{ \sec( \alpha ) }{1 + \tan( \alpha ) } = \frac{2 \sin( \alpha \times \cos( \alpha ) ) }{ \sin alpha + \cos( \alpha ) ) }](https://tex.z-dn.net/?f=+%5Cfrac%7B1+%2B+tan+%5Calpha+%7D%7B+%5Csec%28+%5Calpha+%29+%3F%7D++-+++%5Cfrac%7B+%5Csec%28+%5Calpha+%29+%7D%7B1+%2B++%5Ctan%28+%5Calpha+%29+%7D++%3D++%5Cfrac%7B2+%5Csin%28+%5Calpha++%5Ctimes++%5Ccos%28+%5Calpha+%29+%29+%7D%7B+%5Csin+alpha++%2B++%5Ccos%28+%5Calpha+%29+%29+%7D+)
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