# What is the period of f(t)=cos ( ( 5 t ) / 3 ) ?

Dec 17, 2015

period$= {216}^{\circ}$

#### Explanation:

The period of a sinusoidal function can be calculated with the formula:

period$= {360}^{\circ} / | k |$

In this case, since $k = \frac{5}{3}$, we can substitute this value into the following equation to find the period:

period$= {360}^{\circ} / | k |$

period$= {360}^{\circ} / | \frac{5}{3} |$

period$= {216}^{\circ}$

$\therefore$, the period is ${216}^{\circ}$.