multiple - choice question you try#3 what is the period of the following graph below? sin x
multiple - choice question you try#3 what is the period of the following graph below? sin x
Answer
Explanation:
Step1: Recall period definition
The period of a periodic function is the smallest positive value (T) such that (f(x + T)=f(x)) for all (x) in the domain. For the sine - function (y = \sin x), we observe the pattern of the graph.
Step2: Identify pattern on graph
Looking at the graph of (y=\sin x), we see that the graph repeats itself every (2\pi) units. Starting from (x = 0), the shape of the graph from (x = 0) to (x=2\pi) is the same as the shape from (x = 2\pi) to (x = 4\pi) and so on.
Answer:
(2\pi)