# What is the period of f(t)=sin( 8 t)?

Dec 26, 2015

$\frac{\pi}{4}$

#### Explanation:

f(x)= sin ax.
Period of such a function is $2 \cdot \frac{\pi}{a}$
Here, a =8
period= $2 \cdot \frac{\pi}{8}$ =$\frac{\pi}{4}$

You can verify this by substituting various values for x, to find that the values repeat after every $\frac{\pi}{4}$ interval.