What is the frequency of #f(t)= sin 12 t - cos 54 t #?

1 Answer
Jan 10, 2017

Find the overall period by finding least common multiple of the two periods. The overall frequency is the reciprocal of the overall period.

Explanation:

Let #tau_1 =# the period of the sine function #= (2pi)/12#
Let #tau_2 =# the period of the cosine function # = (2pi)/54#

#tau_("overall") = LCM((2pi)/12, (2pi)/54) = (pi)/3#

#f_("overall") =1/tau_("overall")= 3/pi#