помогите упростить выражение
[tex]\frac{sin x}{ tg ( \frac{\pi }{4} - \frac{x}{2} ) (1 + sin x ) }[/tex]
sinx/(1+sinx)(sin(П/2-x)/(1+cos(П/2-x))=sinx/[(1+sinx)*cosx/(1+sinx)]=sinx/cosx=tgx
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sinx/(1+sinx)(sin(П/2-x)/(1+cos(П/2-x))=sinx/[(1+sinx)*cosx/(1+sinx)]=sinx/cosx=tgx