Question on transformed tan function (about my notes - not involving a problem)

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• Mar 30th 2009, 08:30 PM
s3a
Question on transformed tan function (about my notes - not involving a problem)
Under "Properties of the transformed tangent function #3," I don't get the notation for the domain. Can someone elaborate in great detail for me please?

Thanks in advance!
• Mar 31st 2009, 09:13 AM
running-gag
Hi

It means that the domain is $\mathbb{R}$ except the set of reals x such that there exists $n \in \mathbb{Z}$ such that $b(x-h) = (2n+1)\frac{\pi}{2}$
• Apr 1st 2009, 04:59 AM
HallsofIvy
In other words, everywhere except where the argument of tangent is an odd multiple of $\pi/2$, since tangent is not defined there.