What is the frequency of #f(theta)= sin 12 t - cos 2 t #?

1 Answer
Feb 25, 2018

The frequency is #=1/pi Hz#

Explanation:

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

The period of #sin12t# is #T_1=(2pi)/12#

The period of #cos(2t)# is #T_2=(2pi)/2=(12pi)/(12)#

The #"LCM"# of #T_1# and #T_2# is #T=(12pi)/12=pi#

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

graph{cos(12x)-sin(2x) [-1.443, 12.6, -3.03, 3.99]}