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

Jan 22, 2016

$\frac{2 \pi}{3} r a d = {120}^{\circ}$

#### Explanation:

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

So in this particular case, the amplitude is 1 and the period is
$T = \frac{2 \pi}{3}$ radians $= {120}^{\circ}$.

graph{sin(1/3x) [-16.02, 16.01, -8.01, 8.01]}