Tim has mentioned the high quality of fdlibm, and indeed I cannot
reproduce the issue:

    wget -r http://www.netlib.org/fdlibm/

Then build libm with or without optimizations, with or without -m32,
gcc or clang.


Then compile a C program that calls tan(1.5707963267948961).


This is a bit treacherous, because gcc apparently has a builtin
tan(), so one needs to make sure that it actually uses fdlibm.

gcc-4.7 -fno-builtin -O3 -m32 -Wall -W -o xxx xxx.c libm.a


All is fine here (Ubuntu Linux).