Must Know Trig Formulas/Derivatives

In a Nut Shell: Integrals may involve trig functions or combinations of

trigonometric functions. Also, integrals may involve rational functions which

when transformed yield trigonometric functions. In these cases, you must know

the following trigonometric formulas as well as their derivatives.

Trig

Trig Formulas sin^2x + cos^2x = 1 tan^2x + 1 = sec^2x cot^2x + 1 = csc^2x sin 2x = 2 sin x cos x cos 2x = cos^2x - sin^2x cos^2x = ( 1 + cos 2x )/2 sin^2x = ( 1 - cos 2x )/2

Derivatives d/dx (sin x) = cos x d/dx (cos x) = - sin x d/dx (tan x) = sec^2x d/dx (cot x) = -csc^2x d/dx (sec x) = sec x tan x d/dx (csc x) = - csc x cot x

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