SOLUTION: Graph y=tan(x+3pi/2). Identify its period, undefined values, and phase shift.

Question 190279This question is from textbook saxon algebra 2
: Graph y=tan(x+3pi/2). Identify its period, undefined values, and phase shift. This question is from textbook saxon algebra 2

Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
Graph:

In form: y=a*tan(bx+c)+d ----> a=1, b=1, c=3pi/2, d=0

Period: T=pi/b=pi/1=pi
Period is pi radians or 180 degrees

Undefined Values:
tan(x+3pi/2) = sin(x+3pi/2)/cos(x+3pi/2)

---> cos(x+3pi/2) = sin(x) = 0 ---> x = pi*n

Undefined Values: -2pi, -pi, 0, pi, 2pi, etc...

Phase Shift: -c/b = (3pi/2)/1 = -3pi/2
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