Question

Решите тригонометрическое неравенство

Answer 1

$- sqrt{3} cos(1.5x+ frac{pi}{6} ) textless -1.5|:(- sqrt{3} )\ \ cos(1.5x+ frac{pi}{6}) textgreater frac{3}{2 sqrt{3} } \ \ cos(1.5x+ frac{pi}{6}) textgreater frac{ sqrt{3} }{2} \ \ -frac{pi}{6}+2 pi n textless 1.5x+frac{pi}{6} textless frac{pi}{6}+2 pi n,n in mathbb{Z},, |-frac{pi}{6}\ \ -frac{pi}{3}+2 pi n textless 1.5x textless 2 pi n,n in mathbb{Z},,,,, |:1.5\ \ -frac{2pi}{9}+frac{4pi n}{3} textless x textless frac{4 pi n}{3},n in mathbb{Z}$