What is the frequency of #f(theta)= sin 24 t - cos 14 t #?

1 Answer
Narad T.
Jul 24, 2017

The frequency is #=1/pi#

Explanation:

We start by calculating the period.

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

The period of #sin24t# is #T_1=2/24pi=1/12pi=7/84pi#

The period of #cos14t# is #T_2=2/14pi=1/7pi=12/84pi#

The LCM of #T_1# and #T_2# is #T=(7*12/84pi)=84/84pi=pi#

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

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