Re: [math-fun] True or False, Log[Tan[t + π/4]]

f(x) = log(tan(x + pi/4)) = log((cos(x) + sin(x))/(cos(x) - sin(x))) f(-x) = log((cos(x) - sin(x))/(cos(x) + sin(x))) = -log((cos(x) + sin(x))/(cos(x) - sin(x))) = -f(x) and f is an odd function.

-----Original Message----- From: math-fun [mailto:math-fun-bounces@mailman.xmission.com] On Behalf Of Dan Asimov Sent: Wednesday, July 27, 2016 10:16 PM To: math-fun Subject: Re: [math-fun] True or False, Log[Tan[t + π/4]]

is an odd function of t? -----

It's pretty darn strange, no doubt about it.

—Dan

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