# What is the frequency of #f(theta)= sin 24 t - cos 45 t #?

##### 1 Answer

Aug 31, 2016

#### Explanation:

Frequency=1/(period)#

The epriod for both sin k t and cos kt is

So, the separate periods for the oscillations #sin 24t and cos 45t are

The period P for the compounded oscillation

positive integer multiple of

Easily, M= 720 and N=675, making P = 30pi#.

So, the frequency

See how P is least.

Here, if Pis halved to