Enroll in one of our FREE online STEM summer camps. Space is limited so join now!View Summer Courses

University of Southern California

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80

Need more help? Fill out this quick form to get professional live tutoring.

Get live tutoring
Problem 80

True or False? In Exercises $77-80$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

$$\begin{array}{l}{\text { The function } y=3 \cos (x / 3) \text { has a period that is three times }} \\ {\text { that of the function } y=\cos x .}\end{array}$$

Answer

(ANSWER NOT AVAILABLE)

You must be logged in to like a video.

You must be logged in to bookmark a video.

## Discussion

## Video Transcript

problem Number 80 asks, is determined to determine whether or not the following statement is true or false. The function y equals three Coastline X, divided by three, has a period that is three times that of the function y equals coastline of X. Well, we know that the period of the coast I'm function is equivalent to two pi divided by the absolute value of theme. Now the B in this equation is whatever is being multiplied to our ex inside of the function, so be equals 1/3. So let's see what the period is for this function. Too high, divided by 1/3 positive. So we can drop those absolute value signs and we see that this is the same as three times too high, which equals six pyre. Now, the period of our original function, why equals coastline of X is just won't be equals one, so we can see that that's to fight about it by the to kind of out of it once equals two pie and this is for co sign of X, and this is for three co sign extradited by three, and we can clearly see that's six pi equals three times to find. All right, so let's just do this in red. So it's very clear. Six pi equals three times to five, and so that means this is true.

## Recommended Questions