How do you find the period and frequency of a sine function?

1 Answer
Jul 14, 2018

The period is =2pi ad the frequency is =1/(2pi)

Explanation:

The period T of a periodic function f(x) is

f(x)=f(x+T)

Here,

f(x)=sinx............................(1)

Therefore,

f(x+T)=sin(x+T)

=sinxcosT+cosxsinT...........................(2)

Comparing equations (1) and (2)

{(cosT=1),(sinT=0):}

=>, T=2pi

The period is =2pi

The frequency is

f=1/T=1/(2pi)

graph{sinx [-3.75, 16.25, -5, 5]}