What is the frequency of f(theta)= sin 2 t - cos 4 t f(θ)=sin2tcos4t?

1 Answer
Jul 9, 2017

The frequency is =1/pi=1π

Explanation:

The period of the sum of 22 periodic functions is the LCM of their periods

The period of sin2tsin2t is T_1=(2pi)/2=(4pi)/4T1=2π2=4π4

The period of cos4tcos4t is T_2=(2pi)/4T2=2π4

The LCM of T_1T1 and T_2T2 is T=(4pi)/4=piT=4π4=π

The frequency is

f=1/T=1/pif=1T=1π