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

1 Answer
Rainy Mood
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(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)

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