Question

-2sin(П+3x)<=sqrt3. тригонометрия.

Answer 1

$-2sin( pi +3x) leq sqrt{3} |:(-2)\ sin( pi +3x) geq - frac{sqrt{3}}{2} \ - frac{pi}{3} +2 pi n leq pi +3x leq frac{4 pi }{3} +2 pi n,nin mathbb{Z},,,,, big|- pi \ \ -frac{4pi}{3} +2 pi n leq 3x leq frac{pi}{3} +2 pi n,n in mathbb{Z},,,,,, big|:3\ \ boxed{-frac{4pi}{9}+frac{2pi n}{3} leq x leq frac{pi}{9}+frac{2pi n}{3} ,n in mathbb{Z} }$