Answer: 4[tex]\pi[/tex]
Step-by-step explanation:
Period is a whole cycle of positive and negative for trigonometric functions, given by [tex]\frac{B}{2\pi }[/tex] for trig equation f(x) = A sin(Bx + C) + D (sin can be replaced by cos tan or any other trig function).
when x = 4[tex]\pi[/tex], the function has gone below and above the x-axis exactly once, so the period is 4[tex]\pi[/tex]
