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A use of periodic functions in real life?
determing current flow in ammeters
Periodic function compaired to the real world?
If you are asking about periodic function in the real world, than there are millions of examples. The first one that comes to mind are the sin and cos functions. These are used in almost every field of science.
How are inverse trigonometric functions applied in real life?
They aren't. They aren't.
How does polynomial function exist in real life?
As with most advanced math, if your "real life" involves engineering work, you will use such math; otherwise, you will hardly have anything to do, in this case, with polynomial functions.
Are bounded domain functions periodic?
No. You can always "cheat" to prove this by simply giving the function's domain a bound.Ex: f: [0,1] --> RI simply defined the function to have a bounded domain from 0 to 1 mapping to the codomain of the set of real numbers. The function itself can be almost anything, periodic or not.Another way to "cheat" is to simply recognize that all functions having a domain of R are bounded functions, by definition, in the complex plane, C.(Technically, you would say a non-compact Hermitian symmetric space has a bounded domain in a complex vector space.) Obviously, those functions include non-periodic functions as well.
