Question

упростите (1-cosx)(1+tgx)​

Answer 1

$(1-cos(x))(1+tg(x)) =\\\\ =1 +tg(x)-cos(x)-cos(x)\cdot tg(x)=\\\\=1+\frac{sin(x)}{cos(x)}-cos(x)-cos(x)\cdot\frac{sin(x)}{cos(x)}=\\\\=1+\frac{sin(x)}{cos(x)}-cos(x)-sin(x)=\\\\=-sin(x)-cos(x)-tg(x)+1$