Question

sin x/2 cos x/2>-1/4

Answer 1

$sin frac{x}{2} cos frac{x}{2} textgreater - frac{1}{4} \ 2sin frac{x}{2} cos frac{x}{2} textgreater - frac{1}{2} \ sin x textgreater -0,5 \ - frac{pi}{6} + 2pi n textless x textless frac{7pi}{6} +2pi n, n in Z \ x in (- frac{pi}{6} + 2pi n; frac{7pi}{6} +2pi n), n in Z$