GCC knows how to optimise
        tan * cos --> sin               (fold-const line 7734)
        cos * tan --> sin
        sin / cos --> tan               (fold-const line 8080)
        cos / sin --> 1.0 / tan         (fold-const line 8094)
        
but misses
        sin / tan --> cos
        tan / sin --> 1.0 / cos

-- 
           Summary: Missed optimisation sin / tan --> cos
           Product: gcc
           Version: 4.0.0
            Status: UNCONFIRMED
          Severity: normal
          Priority: P2
         Component: rtl-optimization
        AssignedTo: unassigned at gcc dot gnu dot org
        ReportedBy: christophe dot jaillet at wanadoo dot fr
                CC: gcc-bugs at gcc dot gnu dot org


http://gcc.gnu.org/bugzilla/show_bug.cgi?id=20219

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