I don't like memorizing any more than anyone else. So I know that the derivative of sin x is cos x. But instead of memorizing derivative of cos x, I use the fact that cos is the COFUNCTION of the sin. I also know that DERIVATIVE OF COFUNCTIONS REQUIRE A '-1' FACTOR. So to find the derivative of cos x, the cofunction is sin x. Now the derivative of the sin x is cos x. So the derivative of cos x is -1* cofunction of derivative of sin x or -1* cofunction of cos x or -sin x. Make sense? To find the derivative of csc x, knowing that the derivative of sec x is sec x tan x, we just take -1*cofunctions or derivative of csc x is -csc x cot x!

Please now post your thoughts as to the benefit of this idea or not.