# What is the period of f(t)=sin( 9 t)?

Jan 12, 2016

$\frac{2 \pi}{9}$ radians

#### Explanation:

For any general sine graph of form $y = A \sin B t$, the amplitude is $A$ and the period is given by $T = \frac{2 \pi}{B}$ and represents the units on the t axis required for 1 complete cycle of the graph to pass by.

So in this particular case, $T = \frac{2 \pi}{9}$.

For verification purpose you may plot the actual graph :

graph{sin(9x) [-2.735, 2.74, -1.369, 1.366]}