I don't understand ArcTan. I know it's not just Cotangent, but what is it? How would I solve for, say, ArcTan(Pi/6)? How do I 'set up the triangle' as it were?
arctangent is like arccosine and arcsine.
It's called arc because of the unit circle but there's another name for it I forget what it's like anti ___ I think.
Anyway say I have a number like:
$\displaystyle sin (\frac{\pi}{6})=\frac{1}{2}$ right?
So $\displaystyle arcsin (\frac{1}{2}) = \frac{\pi}{6}$
Arctangent is the same:
say I'm looking at:
$\displaystyle tan(\frac{\pi}{4})=1$
$\displaystyle arctan(1)=\frac{\pi}{4}$
It's just the opposite of what tangent does, you stuff an angle into tangent, and you get a ratio. For arctan/arcsin/arcos you stuff the ratio and it spits out the angle for that ratio.