Question

tg (5x-pi/8)меньше равное кореню из 3

Answer 1

$tg(5x-frac{pi}{8}) leq sqrt3\\ frac{pi}{2}+pi n textless 5x-frac{pi}{8} leq frac{pi}{3}+pi n; ,; ; nin Z\\frac{5pi}{8}+pi n textless 5x leq frac{11pi}{24}+pi n; ,; ; nin Z\\frac{pi}{8}+frac{pi n}{5} textless x leq frac{11pi}{120}+frac{pi n}{5}; ,; ; nin Z$