Question

Determine whether the function is periodic. If it is periodic, find the period.

f(x) = 3 sin 2x + 4 cos 3x

Answer 1

a) 2π

Explanation:

We can easily solve this question by using a graphing calculator or any plotting tool, to check if it is periodic.

The function is

f(x) = 3*sin(2*x) + 4*cos(3*x)

Which can be seen in the picture below

We can notice that f(x) is periodic. It has periodic amplitudes, and the function has a period T = 6.283 ≈ 2π

The maximum and minimum values are

Max = 6.695

Min = -6.695