Question

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

Answer 1

`2pi`

Explanation:

Period of f(t) = cos t - sin t --> `2pi`
Period of f(t) is the least common multiple of `2pi` and `2pi`

Answer 2

`1/(2pi)`

Explanation:

The separate periods of sin t and cost are the same, `2pi`.

So, the period for the compounded oscillation f(t)=sin t-cos t is `2pi`.

The frequency is the reciprocal of the period and is `1/(2pi)`.