Question

cos2x+$sqrt{3}$*sin(п/2+x)+1=0

Answer 1

$cos2x+ sqrt{3} sin( frac{ pi }{2} +x)+1=0 \ cos^{2}x-sin^{2}x+ sqrt{3} cosx+cos^{2}x+sin^{2}x=0 \ 2 cos^{2}x+ sqrt{3} cosx=0 \ cosx(2cosx+ sqrt{3} )=0 \ 1)cosx=0;x= frac{ pi }{2} + pi k; \ 2)2cosx+ sqrt{3} =0 \ cosx=- frac{ sqrt{3} }{2} ;x=+-arccos(-frac{ sqrt{3} }{2} )+2 pi n; \ x=+- frac{5 pi }{6} +2 pi n$

k∈Z;n∈Z