Thread:Meta07/@comment-28857013-20140920165701

that 4(sin^6(x)+cos^6(x))+1-4cos(x)sin(x)=0 thing:

Rounded to 3 significant digits, The result is about 3.85+2n(pi) or 4.12+2n(pi) radians, with n being member of Naturals.

Some simple simplifications and cheating (using Mathematica). 