yapziyang93
yapziyang93 yapziyang93
  • 23-09-2021
  • Mathematics
contestada

solve the equation sin x=cos(x+π/6) for -π≤x≤π​

Respuesta :

lynnkc2000 lynnkc2000
  • 23-09-2021

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

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