What is the period of cos nx?

1 Answer
Mar 10, 2018

the period of the function
cosnx
is
x=(2pi)/n

Explanation:

cosnx
n=1
cosnx=cos1x
cosx
has period of x=2pi
x=(2pi)/1
n=2
cosnx=cos2x
cos2x
has period of 2x=2pi
x=(2pi)/2
n=3
cosnx=cos3x
cos3x
has period of 3x=2pi
x=(2pi)/3

Hence, the period of the function
cosnx
is
x=(2pi)/n