What is the period of function g(t)?

  • Thread starter Ry122
  • Start date
  • Tags
    Period
In summary, the period of a function is the distance on the x-axis between two consecutive points on the graph that have the same value, and it represents the length of one complete cycle of the function. To find the period, you need to look for the distance between two consecutive points on the graph with the same value. Any periodic function can have a period, as long as it repeats itself at regular intervals. The frequency of a function, on the other hand, is the number of cycles the function completes in one unit of time and is inversely related to the period. A function can have multiple periods if it is a composite function, with each individual function having its own period, but the overall function having a period that is a multiple
  • #1
Ry122
565
2
How do I find the period of this function?
g(t) = cos (4t) + sin (t)
 
Physics news on Phys.org
  • #2
Graph it and check? Or would you rather do it by analysis.
 
  • #3
i need to do it without graphing
 
  • #4
sin t is periodic with fundamental period [itex]2\pi[/itex] and cos 4t is periodic with fundamental period [itex]\pi/2[/itex]. Since [itex]2\pi= 4(\pi/2)[/itex], [itex]2\pi[/itex] is also a period of cos 4t.
 

1. What is the period of a function?

The period of a function is the distance on the x-axis between two consecutive points on the graph that have the same value. In other words, it is the length of one complete cycle of the function.

2. How do you find the period of a function?

To find the period of a function, you need to look for the distance between two consecutive points on the graph that have the same value. This will give you the length of one complete cycle of the function, which is the period.

3. Can you find the period of any function?

Yes, you can find the period of any function as long as it is a periodic function. This means that the function repeats itself at regular intervals.

4. What is the difference between the period and the frequency of a function?

The period of a function is the distance between two consecutive points on the graph with the same value, while the frequency is the number of cycles the function completes in one unit of time. They are inversely related, meaning that a shorter period corresponds to a higher frequency and vice versa.

5. Can a function have multiple periods?

Yes, a function can have multiple periods if it is a composite function. This means that it is made up of multiple functions. In this case, each individual function may have its own period, but the overall function will have a period that is a multiple of all the individual periods.

Similar threads

  • Calculus and Beyond Homework Help
Replies
3
Views
272
  • Calculus and Beyond Homework Help
Replies
1
Views
202
  • Calculus and Beyond Homework Help
Replies
6
Views
228
  • Calculus and Beyond Homework Help
Replies
4
Views
346
  • Calculus and Beyond Homework Help
Replies
5
Views
211
  • Calculus and Beyond Homework Help
Replies
28
Views
3K
  • Calculus and Beyond Homework Help
Replies
16
Views
556
  • Calculus and Beyond Homework Help
Replies
1
Views
699
  • Calculus and Beyond Homework Help
Replies
1
Views
759
  • Calculus and Beyond Homework Help
Replies
9
Views
1K
Back
Top