Pre calc
posted by Deena .
y=5tan1/2(x+pi/4)
What is the period?

argument of tan = (x/2 + pi/8)
when x = 0 right now argument of tan = (pi/8)
what will x be when this is bigger by two pi?
(x/2 + pi/8) = (2 pi + pi/8)
or x/2 = 2 pi
x = 4 pi = period
or
how much x has to increase to go a whole way around 2 pi radians 
Oh, sorry, tangent repeats every pi, not 2 pi
so period is 2 pi, not 4 pi