Question

Упростите:
tgx+tgy/ctgx+ctgy​

Answer 1

$\displaystyle\bf\\\frac{tgx+tgy}{Ctgx+Ctgy}=\frac{tgx+tgy}{\frac{1}{tgx}+\frac{1}{tgy} } =\frac{tgx+tgy}{\frac{tgx+tgy}{tgx\cdot tgy} } =\\\\\\=\frac{(tgx+tgy)\cdot tgx\cdot tgy}{tgx+tgy} =tgx\cdot tgy$