Question

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

Answer 1

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