Question

Преобразуйте в произведение : tg 50 + tg 10/ tg 50 - tg 10

Answer 1

$\frac{tg50 + tg10}{tg50 - tg10} = \frac{ \frac{Sin(50+10)}{Cos50*Cos10} }{ \frac{Sin(50-10)}{Cos50*Cos10} } = \frac{Sin60*Cos50*Cos10}{Sin40*Cos50*Cos10} = \frac{ \sqrt{3} }{Sin40}$