00:01
All right, for this question, we are considering why does tan, let me write this down here, why does tan of x have a maximum on the interval 0 to pi by 4, but not on the interval 0 to pi? let me just drop down a little plot here, or a little graph.
00:37
Grid, that's the word that i'm trying to find.
00:41
So we have our line for x equals, or sorry, our y, yes, our y line there.
00:49
We have our x line across.
00:53
And let's say that we have one, two, three, four.
01:00
Let's say that that's our pie by, actually move this a little bit.
01:09
Say that this point is our pi by 4, then we'd have pi by 2 here, 3 pi by 4, then we'd have pi over here.
01:25
If we consider what tan looks like, should recall that since tan is sine x over cosax, it'll be 0 when signed is 0, so we start out with it 0 at the center here.
01:41
And then, actually one last thing, two, four, six, eight.
01:48
That's going to be negative pi over here, just for the sake of doing the rough sketch of tan...