# What is the period of f(t)=sin( ( t)/4 )?

Dec 31, 2015

Period $= 8 \pi$ step by step explanation is given below.

#### Explanation:

Period of $\sin \left(B x\right)$ is given by $\frac{2 \pi}{B}$

$f \left(t\right) = \sin \left(\frac{t}{4}\right)$

$f \left(t\right) = \sin \left(\frac{1}{4} t\right)$

Comparing with $\sin \left(B x\right)$ we can see $B = \frac{1}{4}$

Period is $\frac{2 \pi}{B}$

Here we get the period $= \frac{2 \pi}{\frac{1}{4}}$

Period $= 8 \pi$