Question 190279
Graph:

{{{graph( 500, 500, -10, 10, -10, 10,sin(x+3pi/2)/cos(x+3pi/2))}}}


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