What is the frequency of #f(theta)= sin 7 t - cos 4 t #?

1 Answer
Narad T.
Jan 10, 2018

The frequency is #=1/(2pi)#

Explanation:

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

The period #"sin7t"# is #=(2pi)/(7)=(4pi)/14#

The period #"cos4t"# is #=(2pi)/(4)=(7pi)/(14)#

The #LCM# of #(2pi)/(7)# and #(2pi)/(4)# is

#=(28pi)/14=2pi#

The frequency is #f=1/T=1/(2pi)#

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