# What is the frequency of #f(theta)= sin 6 t - cos 2 t #?

##### 1 Answer

It is

#### Explanation:

We look for the period that is easier, then we know that the frequency is the inverse of the period.

We know that the period of both

Then we can say that

With the same idea we find that

The difference of the two repeats when both quantities repeat.

After

So the function has period

graph{sin(6x)-cos(2x) [-0.582, 4.283, -1.951, 0.478]}