Shortcuts hints for memorizing. I need a well explanatory paragraph with examples if possible describing your thoughts as to the benefits of this idea.

The derivative of sin x is cos x. Instead of memorizing derivative of cos x, it can be used that cos is the COFUNCTION of the sin. 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. This may seem like even more work, but it will prove useful as we explore the other four trig functions.

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