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

1 Answer
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)