Is Tangent Function Periodic Like Sine and Cosine?

In summary, tan is a periodic function, like sin and cos. Its period is π radians or 180 degrees, and its values repeat after every period. Tan has a specific domain and range, with the domain being all real numbers except for odd multiples of π/2, and the range being all real numbers. Tan can also be graphed as a periodic function with a repeating pattern of peaks and valleys.
  • #1
SELFMADE
80
0
cos and sin are periodic at 2pi

How about tan?
 
Physics news on Phys.org
  • #2
Do you know what the graph of tan(x) looks like?
 
  • #3
tan = sin/cos
what does this tell you?
 
  • #4
Hi SELFMADE! :wink:

(have a pi: π :wink:)
SELFMADE said:
cos and sin are periodic at 2pi

How about tan?

tan is periodic … but the minimum period is not 2π … what is it? :smile:
 
  • #5
It is pi, got it thanks
 

Related to Is Tangent Function Periodic Like Sine and Cosine?

1. Is tan periodic like sin and cos?

Yes, tan is also a periodic function.

2. What is the period of tan?

The period of tan is π radians or 180 degrees.

3. How is tan periodic?

Tan is periodic because its values repeat after every π radians or 180 degrees.

4. Does tan have a specific domain and range?

Yes, the domain of tan is all real numbers except for odd multiples of π/2, and the range is all real numbers.

5. Can you graph tan as a periodic function?

Yes, tan can be graphed as a periodic function with a repeating pattern of peaks and valleys.

Similar threads

  • Precalculus Mathematics Homework Help
Replies
6
Views
957
Replies
139
Views
4K
  • Precalculus Mathematics Homework Help
Replies
17
Views
2K
  • Precalculus Mathematics Homework Help
Replies
3
Views
2K
  • Precalculus Mathematics Homework Help
Replies
8
Views
2K
  • Precalculus Mathematics Homework Help
Replies
10
Views
2K
  • Precalculus Mathematics Homework Help
Replies
2
Views
1K
  • Precalculus Mathematics Homework Help
Replies
31
Views
3K
  • Precalculus Mathematics Homework Help
Replies
8
Views
4K
  • Precalculus Mathematics Homework Help
Replies
10
Views
3K
Back
Top