00:01
The topic of this question is trigonometric functions.
00:05
In this question, we want to find which of these functions here represents this graph, or more specifically, this graph represents which of these functions.
00:21
So notice that in the region from 0 to 2 pi, there are two periods, this one and this one, or two cycles.
00:35
And that tells us that the period is reduced by 2 from the original sign function which looks like this.
00:49
It has a period of 2 pi.
00:52
But this obviously doesn't, this function that we have.
00:58
So that rules out the possibility that it is this or that it is this.
01:04
Because for both of those, the period is extended.
01:08
It's stretched by 2 to 4 pi.
01:12
Then compressed 2.
01:16
It's reduced by half because they're exactly two cycles in 2 pi.
01:21
So 1 is 1 pi.
01:25
Okay, and so since it's not this second or fourth function, let's be one of these...