Determine the period of the function f(x)=2cos(1/6x+π/3) .(1 point) Responses π3 Start Fraction pi over 3 End Fraction −π3 negative Start Fraction pi over 3 End Fraction 12π 12 pi 2π
The period of the function f(x) = 2cos(1/6x + π/3) is found by dividing the coefficient of x by 2π.
In this case, the coefficient of x is 1/6, so the period is:
Period = 2π / (1/6) = 2π * 6 = 12π
Therefore, the correct answer is 12π.