Table of Contents
- 1 What is a real life example of a periodic function?
- 2 What other examples of periodic behavior can you think of in other areas of life?
- 3 How are sinusoidal functions applied to real life scenarios?
- 4 What real life situations can be Modelled with graphs of trigonometric functions?
- 5 What are some real life examples of periodic functions?
- 6 What is the difference between periodic and non periodic functions?
What is a real life example of a periodic function?
For example, high tides and low tides can be modeled and predicted using periodic functions because scientists can determine the height of the water at different times of the day (when the water level is low, the tide is low).
What other examples of periodic behavior can you think of in other areas of life?
Insects, like most other living organisms, exhibit cycles of activity that are synchronized with periodic events in their environment. Hatching, molting, foraging for food, courtship, and nest building are all examples of common behaviors that may recur at regular intervals.
What is a periodic function used for?
Periodic functions are used throughout science to describe oscillations, waves, and other phenomena that exhibit periodicity. Any function that is not periodic is called aperiodic.
Is Tan a periodic function?
Unlike the sine and cosine functions, the tangent function is π periodic. That is, if the point (x, y) lies on the graph of y = tan x so will the point (x + kπ , y) where k is any integer.
How are sinusoidal functions applied to real life scenarios?
Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.
What real life situations can be Modelled with graphs of trigonometric functions?
What are some natural phenomena which would be modeled with periodic functions?
Types of Periodic Functions The most famous periodic functions are trigonometric functions: sine, cosine, tangent, cotangent, secant, cosecant, etc. Other examples of periodic functions in nature include light waves, sound waves and phases of the moon.
What does periodic function mean in chemistry?
When any property whether its chemical or physical of all periodic table elements repeats after a fixed number of elements in increasing atomic no.,it is referred as Periodic Function.
What are some real life examples of periodic functions?
Some real life examples of periodic functions are the length of a day, voltage coming out of a wall socket and finding the depth of water at high or low tide. A periodic function is defined as a function that repeats its values in regular periods. The period is the length of time it takes for the cycle to repeat itself.
What is the difference between periodic and non periodic functions?
As periodic functions repeat their values at set periods, you could also think of a non periodic function as one that doesn’t have repeating intervals. Although an aperiodic function isn’t not periodic in nature, there is a very close relationship: mathematically, you can think of them as periodic functions with a period of infinity (Adams, 2020).
Can a function be periodic on one axis but not on another?
Complex functions may be periodic along one line or axis in the complex plane but not on another. For instance, is periodic along the imaginary axis but not the real axis. Double-periodic functions. A function whose domain is the complex numbers can have two incommensurate periods without being constant.
What are the periodic functions with periods of Pi?
The functions cotangent and tangent have a period of pi. Periodic functions cannot be monotonic, or never decreasing or increasing, on the entire domain. There are specific trigonometric functions for any real number “x” and any real number “k,” such as sin (x+2 (pi)k) is equal to sinx.