How do you graph #y=tan(x-pi/2)#?

1 Answer
Jun 11, 2018

Answer:

Below

Explanation:

#y=tan(x-pi/2)# is basically #y=tanx# shifted to the right by #pi/2#
That means that the entire graph including the asmpytotes move to the right by #pi/2# units.

graph{tanx [-10, 10, -5, 5]}
Above is #y=tanx#

graph{tan(x-pi/2) [-10, 10, -5, 5]}

Above is #y=tan(x-pi/2)# If you focus on #(0,0)# in the first graph, you will notice that in #y=tan(x-pi/2)#, it has shifted to the right by #pi/2# units or approximately 1.57 units to the right.