1. The problem statement, all variables and given/known data Show that sin(2θ) / (1 + cos(2θ) = tan(θ) - I've completed this part Hence find the value of cot(π/8) in the form a + b√(2), where a, b ∈ ℤ 2. Relevant equations cot(θ) = (1 + cos(2θ)) / sin(2θ) 3. The attempt at a solution I did the math, got (1 + cos(π/4)) / sin(π/4) = (1 + 1/2√(2)) / (1/2√(2)) = (2 + √(2)) / √(2) = (2 / √(2)) + 1 Assuming I did all the math correctly, I can't figure out how to get to a + b√(2) from here. Any tips? (Also if anyone can answer this, how can I make my math look more "math-like" in these forums? I hate having to insert math as typed up stuff that looks sloppy) Thanks very much for any help anyone can offer!