Sketching the graph of trigonometric functions involving absolute value function How do I sketch the graph of $\tan |x|?$


I know that the modulus over $|x|$ can be thought of as the angle (in radians) will always be positive which implies that the angle is always measured anti-clockwise. But I seem to get no idea about sketching it correctly. 

I know how a graph changes when we put absolute value function. 
Also I don't have any texts that explains such graphs.

Any reference from the web to learn such graphs are welcome.

Kindly help.
First, draw the graph for $x&gt;0$. This will be the same graph than $\tan x$. Then, since $\tan |-x|=\tan |x|$, the graph of the function will be symmetric w.r.t the axis $x=0$. Hence, you can draw the part $x&lt;0$ just by using the symmetry of the function.
Draw or plot together on same graph sheet

$$  y=  \tan x,(x&gt;0) ,\,  y= - \tan x, (x&lt;0)  $$

The graph lines have symmetry about y-axis. It is an even  function, even or mirrored about y-axis with a slope discontinuity  at the origin. In fact if you hold up a mirror on y-axis and look at the real graph and virtual image you can see the full graph.