1. The problem statement, all variables and given/known data Find the range of the function: y=(2cosx+1)/(2cosx-1) algebraically 2. Relevant equations Reducing it, I obtained: y= tan(3x/2)/tan(x/2), but the discontinuity confuses me 3. The attempt at a solution I did it with my calculator and this is the result: Ran = (-oo,1/3] U [3,+oo) but I hope I can get help with the algebraic solution. Thanks in advance.