Mathematics

Problem

For

x\in\mathbb R

, consider the equation

2\sin x\cos x+\sqrt{3}\cos x=0

. Answer the following: a. (i) Express the equation in factored form. b. (ii) Determine the general solution for

x

. c. (iii) From your general solution, write all values of

x

that lie in

[0,2\pi)