Respuesta :

Answer:

x = π/3

Step-by-step explanation:

sin x=cos(x+π/6)

       = cos (x) cos π/6 + sin (x) sin π/6

       = √3/2* cos x + 1/2* sin x

1/2* sin x = √3/2* cos x

sin x / cos x = (√3/2) / (1/2) = √3

tan x = √3    (-π≤x≤π​)

x = π/3