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

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Answer 1 · 2018-07-14T13:45:35

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

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)#

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