ПОМОГИТЕ РЕШИТЬ!!!!!!!
Task/25238469 -------------------- 4(Cos²π/8 -Sin²π/8) - 6Sin(π/4) =4*Cos(2*π/8) -6Sin(π/4) = 4*Cos(π/4) -6Cos(π/4) = -2Cos(π/4) = -2*(√2)/2 = - √2 . * * * * * * * Cos²φ -Sin²φ = Cos2φ ; Sin(π/4) =Cos(π/4) = (√2)/2 . π/4 =45°.
По формуле косинуса удвоенного аргумента: cos²A - sin²A = cos2a, получаем: 4cos(π/4) - 6sin(π/4) = 4·√2/2 - 6·√2/2 = 2√2 - 3√2 = -√2