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

Jun 11, 2018

Below

Explanation:

$y = \tan \left(x - \frac{\pi}{2}\right)$ is basically $y = \tan x$ shifted to the right by $\frac{\pi}{2}$
That means that the entire graph including the asmpytotes move to the right by $\frac{\pi}{2}$ units.

graph{tanx [-10, 10, -5, 5]}
Above is $y = \tan x$

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

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