Question

Вычислить: sin 29 градусов х cos 61 градусов - cos 29 градусов x cos 151 градусов

Answer 1

$Sin29^{o}*Cos61^{o}-Cos29^{o}*Cos151^{0} =Sin29^{o}*Cos61^{o}-Cos29^{o}*Cos(90^{0}+61^{o})=Sin29^{o}*Cos61^{o}-Cos29^{o}*Sin61^{0}=Sin(29^{0}+61^{0} )=Sin90^{0} =1\\\\Otvet:\boxed{1}$