Your Answer is

Correct Answer is G

Explanation

According to the definition of a periodic function, it is necessary to find a minimum positive number T that can make sin4(x+T)=sin4x for each value of x in the function domain, and know that the period of y=sinx is 2π.

Because sin4x=sin(4x+2π)=sin4(x+π/2), the period of y=4x is π/2.