Question

2 cos^2 x+корень 3 cos x=0

Answer 1

$2cos^2x+ sqrt{3} cosx=0 \ cosx(2cosx+ sqrt{3})= 0 \ \ 1) cosx=0 \ 2)2cosx+ sqrt{3} =0 \ \ 1)cosx=0 \ \ x= frac{ pi }{2} + pi k, kin Z \ \ 2)cosx=- frac{ sqrt{3} }{2} \ \ x= frac{5 pi }{6} +2 pi k, kin Z \ \ OTBET: frac{ pi }{2} + pi k; frac{5 pi }{6} +2 pi k, kin Z$