Question

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

Answer 1

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(pi/2)` that will alter the period, so you have to use the formula `P=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 = `pi/(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=`2/1` or basically P=`2`

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