Derivative of cot(x) from first principles (definition)

[@jan-willemreens9010]

...Good day Newton, I compare doing math with unwrapping a little present with the visible gift at the end; step by step through all the algebraic frenzy, and still full of expectation, you finally arrive at a beautiful and elegant end result. The reason why more people should experience how much fun this branch of science really is. Newton, again thank you for your infectiously enthusiastic contribution to this... Jan-W

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[@TakwanaHlungupi]

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[@ravindrakumar320]

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[@johnnolen8338]

Three of the most useful trig identities I know are: 1) cos A · cos B = 1/2 [cos(A - B) + cos(A + B)] 2) cos A · sin B = 1/2 [sin(A + B) - sin(A - B)] 3) sin A · sin B = 1/2 [cos(A - B) - cos(A + B)] These make child's play of evaluating trig function products.

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