Trigonometry

Apparently (cot-1)/(1-tan) = cot. I've tried proving this 20 different ways but just can't. This isn't complicated Trig, I'm just a newb who could use a hand. Anyone? Bustin' mah balls here.

(cot + -1)/(-tan + 1)

-1((cot + -1)/(tan + -1))

-1((1/tan + -1)/(tan + -1))

-1((1/cos\sin + -1)/(cos\sin + -1))

-1((1/cos\sin + cos\sin\cos\sin)/(cos\sin + -sin/sin))

-1(((1 + cos\sin)\cos\sin)/((cos-sin)/sin))

-1(((cos\sin)\cos\sin)/((cos-sin)/sin))

-cos/sin + cos\sin + sin\cos

-tan + tan + cot

cot

>>1,2
lol...
(cot - 1)/(1 - tan) = cot <=> cot - 1 = cot - cot*tan <=> cot = 1/tan