# How do you find the period of y = tan (x + pi/3)?

Jan 19, 2016

Use the coefficient on the variable x to find the period ...

#### Explanation:

For this problem, the coefficient on x is $1$. Next, use this formula for finding the period for tangent ...

Period $= \frac{\pi}{\text{coefficient}} = \frac{\pi}{1} = \pi$

So, this function has the same period as a standard tangent function except it has a phase shift of $\frac{\pi}{3}$ . See graph below.

Hope that helped