Question

Помогите пожалуйста: 19.32

Answer 1

Ответ:

$\sqrt3sinx+cosx<1\\\\\dfrac{\sqrt3}{2}sinx+\dfrac{1}{2}cosx<\dfrac{1}{2}\\\\cos\dfrac{\pi }{6}\cdot sinx+sin\dfrac{\pi }{6}\cdot cosx<\dfrac{1}{2}\\\\sin\Big(x+\dfrac{\pi}{6}\Big)<\dfrac{1}{2}\\\\\dfrac{\pi}{6}+2\pi n<x+\dfrac{\pi}{6}<\dfrac{5\pi }{6}+2\pi n\ ,\ n\in Z\\\\2\pi n<x<\dfrac{2\pi }{3}+2\pi n\ ,\ n\in Z\\\\x\in [\, 0\, ;\, 2\pi \, ]:\ \ x(naimen.\, celoe)=0$