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

Jun 24, 2016

$2 \pi$

#### Explanation:

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

Jun 24, 2016

$\frac{1}{2 \pi}$

#### Explanation:

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

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

The frequency is the reciprocal of the period and is $\frac{1}{2 \pi}$.