Помогите решить Алгебру ‼. Created by katsugaikirika. algebra-ru

Помогите решить Алгебру ‼...

$1)\frac{Sin\alpha Cos\alpha}{tg\alpha}-1=Sin\alpha Cos\alpha*\frac{Cos\alpha }{Sin\alpha}-1=Cos^{2}\alpha-1=\boxed{-Sin^{2}\alpha} \\\\2) \frac{Sin\alpha Cos\alpha}{Ctg\alpha}-1=Sin\alpha Cos\alpha*\frac{Sin\alpha }{Cos\alpha}-1=Sin^{2}\alpha-1=\boxed{-Cos^{2}\alpha}$

$3)\frac{1}{1-Cos\alpha }-\frac{1}{1+Cos\alpha }=\frac{1+Cos\alpha-1+Cos\alpha}{(1-Cos\alpha)(1+Cos\alpha)}=\frac{2Cos\alpha }{1-Cos^{2}\alpha}=\boxed{\frac{2Cos\alpha}{Sin^{2} \alpha}} \\\\4)\frac{1+tg\alpha }{1+Ctg\alpha }=\frac{1+tg\alpha }{1+\frac{1}{tg\alpha}}=\frac{1+tg\alpha }{\frac{1+tg\alpha }{tg\alpha} }=\frac{tg\alpha(1+tg\alpha}{1+tg\alpha} =\boxed{tg\alpha}$

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