Question

Тригонометрия 10 класс
Sin(x+p/3)+sin(x-p/3) если sin(x)=корень из 3/4
60 баллов

Answer 1

Ответ:

√3/4

Пошаговое объяснение:

sin(x+π/3) = sinx * cos(π/3) + cosx * sin(π/3)

sin(x-π/3) = sinx * cos(π/3) - cosx * sin(π/3)

sin(x+π/3)+sin(x-π/3) =sinx * cos(π/3) + cosx * sin(π/3)+sinx * cos(π/3) - cosx * sin(π/3)= 2sinx * cos(π/3)

sinx=√3/4

cos(π/3)=1/2

sin(x+π/3)+sin(x-π/3) =2*√3/4*1/2=√3/4