Question

2sin (2x - p/3) +1 >= 0

Answer 1

$2sin(2x - frac{pi}{3} ) + 1 geq 0\ sin(2x - frac{pi}{3} ) geq -0,5 \ -frac{pi}{6} + 2pi n leq 2x - frac{pi}{3} leq frac{7pi}{6} + 2pi n,n in Z\ frac{pi}{6} + 2pi n leq 2x leq frac{3pi}{2} + 2pi n,n in Z\ frac{pi}{12} + pi n leq x leq frac{3pi}{4} + pi n,n in Z \ x in [frac{pi}{12} + pi n; frac{3pi}{4} + pi n] , n in Z$