00:01
In this problem, we have been asked to find the amplitude period and phase shift of the function ht, which is equal to 13 cost of 14p plus 15.
00:15
Now, note that we can compare this to the general cosine function, which will be of the form a cost kt plus b.
00:27
If we compared these two expressions, then we will have a is equal to 13, k is equal to 14, and b is equal to 15.
00:42
So let us determine the amplitude.
00:47
Now, the amplitude is given by the modulus of a.
00:52
So that will be the modulus of 13, which is equal to 13.
00:56
So the amplitude is 13.
00:59
Next we need to determine the period.
01:02
The period is given by 2 pi divided by the modulus of k.
01:06
So that would be 2 pi divided by the modulus of 14...