- #1
cmkluza
- 118
- 1
Homework Statement
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
Homework Equations
cot(θ) = (1 + cos(2θ)) / sin(2θ)
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!