00:01
Here we are going to sketch the graph of the function cosine of t for the argument t in the interval from negative 3 by 1ā2, 3 by 1, including both endpoints.
00:17
And with that graph, we are going to find the absolute and local maximum and minimum values of the function.
00:24
So we're going to use this system here, this coordinate system.
00:28
And we are going to do more or less the graph of the cosine function.
00:34
We know the cosine is 0 is 1, so we can have something like this.
00:43
Okay, that's cosine.
00:51
Here is a little bit better than that.
00:55
And then we have this bar here and this bar here, more or less.
01:01
And here we have the value is included because we have included boston points.
01:07
The value at negative 3 pi half and 3 by half is 0, 0, and this value here is 1.
01:25
And this value here we know is negative 1.
01:30
That is at this point, negative 1, which is the same as this point here.
01:37
And as we can see, we have here all the elements we can have in terms of extrema.
01:46
So we have first we have the absolute maximum value of the function is 1 attain at 0...