Which quadrants and axes does f(x)=abs(tanx pass through?

1 Answer
A. S. Adikesavan
Apr 30, 2016

f(x)>=0. So, there is no crossing of its graph to the 3rd and 4th quadrants. It braces x-axis at two-tangent nodes x=n pi, n=0, +-1, +-2, +-3... Asxto(2n-1)pi/2, n=0,+-1,+-2,+-3.., ftooo..

Explanation:

Interestingly, |tanx| is periodic with period pi, in contrast to the period 2pi, for tan x.

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