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Trig Function Derivatives

Handy Table of Trig Function Derivatives

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$\dfrac{d}{dx}\sin x = \cos x$The derivative of sin x is cos x.
$\dfrac{d}{dx}\cos x = -\sin x$The derivative of cos x is –sin x.
$\dfrac{d}{dx}\tan x = \sec^2x$The derivative of tan x is (sec x)^2.
$\dfrac{d}{dx}\csc x = -\csc x \cot x$The derivative of csc x is –csc x cot x.
$\dfrac{d}{dx}\sec x = \sec x \tan x$The derivative of sec x is sec x tan x.
$\dfrac{d}{dx}\cot x = -\csc^2x$The derivative of cot x is –(csc x)^2.
Tips iconNotice that a negative sign appears in the derivatives of the co-functions: cosine, cosecant, and cotangent.