Question 467680
(cot)/(csc-1)=(csc+1)/(cot)
-------------
Change all to sines and cosines
(cos/sin)/(1/sin - 1) = (1/sin + 1)/(cos/sin)
(cos/sin)/((1 - sin)/sin) = ((1 + sin)/sin)/(cos/sin)
cos/(1-sin) = (1 + sin)/cos
Cross multiply
cos^2 = 1 - sin^2  Pythagorean identity
---------------
Always change to sines and cosines, unless you're familiar with other identities.