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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