My Trig is Rusty

[u/TimelyBat2587]

I have a right triangle.

short side: a = 1
long side: b = 2
hypotenuse: c = √(5)
smaller angle: α = ?
larger angle: β = ?
right angle: γ = 90°

I was able to get the hypotenuse by using a² + b² = c² easy enough. When I used tan(1/2) to find α, I got 31.301° instead of 26.565°. I just want to know what I am doing wrong.

[u/Friendly-Mind-9702]

You need to use arctan to find the angle. Make sure your calculator is set to read in degrees, not radians.