Question

cos x + √3 sen x=2
(urgente )​

Answer 1

Respuesta:

Explicación paso a paso:

cos x + √3 sen x=2

$cos(x)+\sqrt{3} sin(x)=2\\cos(x)2-\sqrt{3} sin(x)\\cos^{2} (x)=(2-\sqrt{3} sin (x))^{2}\\ 3-4 sin^{2}(x)+4 sin(x)\sqrt{3}=0\\sin(x)=\frac{\sqrt{3} }{2} \\x=\frac{\pi }{3}+2\pi n,x=\frac{2\pi }{3} +2\pi n\\x=\frac{\pi }{3}+2\pi n$