# How to find the period and amplitude for y=tan((pi/2)x)?

Jan 25, 2018

Period= 2
Amplitude= none

#### Explanation:

Period= 2
To get the period you have to know that a tan graph's default period is $\pi$. But in this case there's a $B \left(\frac{\pi}{2}\right)$ that will alter the period, so you have to use the formula $P = \frac{\pi}{B}$ to solve for the period where P symbolizes Period, $\pi$ symbolizes the default period of tan and b which is the number in front of x in the equation.
So now plug the value of B
P = $\frac{\pi}{\frac{\pi}{2}}$-----------> Everytime your dividing by a fraction you can see it as multiplying the flip version of it.
So
P= pi/1 ⋅ 2/pi----->where the pi cancel because theres 1 at top and 1 at bottom, leaving you with.

P=$\frac{2}{1}$ or basically P=$2$

Amplitude= none(Tan graphs ALWAYS don't have amplitude because they are infinite)