27 Jul
2016
27 Jul
'16
10:53 p.m.
Assuming you mean log(tan(t+pi/4)), this is igd(2t), inverse gudermannian of 2t, which is an odd function for small t. To see this without appealing to special functions, notice that (switching to degrees) tan(45+x) = cot(45-x) since the angles sum to 90. Using cot == 1/tan, and applying the log, we get log(tan(45+x)) = - log(tan(45-x)). Rich ------- Quoting Dan Asimov <dasimov@earthlink.net>:
is an odd function of t? -----
It's pretty darn strange, no doubt about it.
?Dan
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