# What is the frequency of f(theta)= sin 24 t - cos 54 t ?

Nov 11, 2016

$\pi$

#### Explanation:

Frequency of $\sin 24 t - \to \frac{2 \pi}{24} = \frac{\pi}{12}$
Frequency of $\cos 54 t - \to \frac{2 \pi}{54} = \frac{\pi}{27}$
Find least common multiple of $\frac{\pi}{12} \mathmr{and} \frac{\pi}{27}$

$\frac{\pi}{12} \ldots X \ldots \left(12\right) \ldots - \to \pi$
$\frac{\pi}{27} \ldots X \ldots \left(27\right) \ldots - \to \pi$

Frequency of f(t) -->$\pi$