- #1
SELFMADE
- 80
- 0
cos and sin are periodic at 2pi
How about tan?
How about tan?
Is Tangent Function Periodic Like Sine and Cosine?
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SUMMARY
The tangent function, denoted as tan(x), is periodic with a minimum period of π, unlike the sine and cosine functions, which have a period of 2π. This periodicity arises from the definition of tangent as the ratio of sine to cosine (tan = sin/cos). The discussion confirms that while sine and cosine repeat every 2π, tangent completes its cycle every π.
PREREQUISITES- Understanding of trigonometric functions
- Knowledge of periodicity in mathematics
- Familiarity with the unit circle
- Basic graphing skills for trigonometric functions
- Study the graph of the tangent function and its asymptotes
- Explore the properties of sine and cosine functions
- Learn about the applications of periodic functions in real-world scenarios
- Investigate the relationship between trigonometric identities and periodicity
Students of mathematics, educators teaching trigonometry, and anyone interested in understanding the properties of trigonometric functions.
- #2
Bohrok
- 867
- 0
Do you know what the graph of tan(x) looks like?
- #3
blerg
- 64
- 0
tan = sin/cos
what does this tell you?
what does this tell you?
- #4
tiny-tim
Science Advisor
Homework Helper
- 25,837
- 258
Hi SELFMADE! 
(have a pi: π)
tan is periodic … but the minimum period is not 2π … what is it?
(have a pi: π
)SELFMADE said:
tan is periodic … but the minimum period is not 2π … what is it?
- #5
SELFMADE
- 80
- 0
It is pi, got it thanks