РЕШИТЕ ТРИГОНОМЕТРИЧЕСКОЕ НЕРАВЕНСТВО

Question

РЕШИТЕ ТРИГОНОМЕТРИЧЕСКОЕ НЕРАВЕНСТВО

---

Answer 1

sqrt(3)sinx + cosx =< 1

sqrt(3)sinx/2 + cosx/2 =< 1/2

cos(π/6)sinx + sin(π/6)cosx =< 1/2

sin(x + π/6) =< 1/2

-7π/6 + 2πn =< x + π/6 =< π/6 + 2πn

-4π/3 + 2πn =< x =< 2πn ; n € Z

x € [-4π/3 + 2πn ; 2πn] ; n € Z