Question

Solve the following trig equation

2cos(x-π/6)=1

Answer 1

2cos(x-π/6) = 1

let y = (x-π/6)
cos(y) = 1/2
y = π/3, -π/3
substituting back the value of y,
(x - π/6) = π/3
x = π/2

(x - π/6) = -π/3
x = -π/6 or 11π/12

hope this helps~ :)