What is the frequency of f(theta)= sin 24 t - cos 32 t ?

1 Answer
May 29, 2018

$\frac{\pi}{2}$

Explanation:

Period of $\sin \left(24 t\right)$ --> $\frac{2 \pi}{24} = \frac{\pi}{12}$
Petiod of $\cos \left(32 t\right)$ --> $\frac{2 \pi}{32} = \frac{\pi}{16}$
Period of f(t) is least common multiple of pi/12 and pi/16.
It is $\frac{\pi}{2}$
$\frac{\pi}{12} \ldots X . \left(6\right) - \to \frac{\pi}{2}$
$\frac{\pi}{16} \ldots X . \left(8\right) - \to \frac{\pi}{2}$