PLEASE HELP IT'S URGENT :(
solve the following equations in the interval [0, 2π)

4cos²x + 4√3cosx + 3 = 0

2sinx - 3cotx = 0

Afarmer has a large field that is x feet in length. he wants to fence in a rectangular section in the middle of the field , leaving a length of 100 feet of open field behind each end of the fenced rectangle.he also wants the width of the fenced-in space to be 100 feet less than its length. find the expressions to represent the length and width of the fenced section of the field