# What is the period of f(t)=sin( ( 2t) /7 +pi )?

Jun 14, 2016

The period is $7 \pi$

#### Explanation:

The period of a function $f \left(x\right) = a \sin \left(b x + c\right)$ can be calculated using a formula:

$T = \frac{2 \pi}{b}$

So in the example it is:

$T = \frac{2 \pi}{\frac{2}{7}} = 2 \pi \cdot \frac{7}{2} = 7 \pi$