Period T of function y=cos(nx)

There are two functions:

1) f(x)=cos(nx)

2) f(x)=cos(x)

T=2π is the fundamental period of (2) function.

T1 is the fundamental period of (1) function.

How to prove that T1=2π/n?


Answers (2)


By definition, a function f(.) is periodic with period p if f(x+p) = f(x) and p is the smallest positive number that satisfies the above relation.

Hence cos(n(x+p))=cos(nx+np)=cos(nx)⟺np=2∗π.

Hence the period p=2π/n

11-09-2015 21:56


The answer will be 2π/n...

17-11-2015 10:22

You need to Log in to submit an answer

  • Answer Questions and earn reputation points
  • Related