What is the frequency of #f(theta)= sin 2 t - cos 24 t #?

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Answer 1 · 2017-02-01T13:51:15

The frequency is #=1/pi#

The period of the sum of 2 periodic functions is the LCM of their periods.

The period of #sin2t# is #=2pi/(2)=12/12pi#

THe period of #sin24t# is #=(2pi)/24=pi/12#

The LCM of #12/12pi# and #pi/12# is #=12/12pi=pi#

Therefore,

#T=pi#

The frequency is #f=1/T=1/pi#