Please explain to me how the period of the given periodic function is ?/2. I saw another solution in which the the expert got ?/8 as the solution using f(x)=f(x+T) method

29. The function f(x) = |sin 4x| + |cos 2x| is a periodic function with period:
(а) 2π
(b) π
(c) $\frac{\pi }{2}$
(d) $\frac{\pi }{4}$