How do you find the period of $y = tan (x + \frac{π}{3})$ $y = tan (x + pi/3)$ ?

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Answer 1 · 2016-01-19T00:38:32

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

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

Period $= \frac{π}{coefficient} = \frac{π}{1} = π$ $=(pi)/"coefficient"=pi/1=pi$

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

Hope that helped

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How do you find the period of y=tan(x+π3)y = tan (x + pi/3)?