ciphergoth comments on Where Fermi Fails: What is hard to estimate? - Less Wrong Discussion
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tan(10^100) ~= 0.40123196199081432083
I wrote my own program to calculate this in Python, and got an answer approximately similar to this, then found a more exact answer here:
http://newsgroups.derkeiler.com/Archive/Rec/rec.puzzles/2006-04/msg00363.html
You need lots of decimal places of pi to calculate this :)