Differentiating the Trigonometric Functions (HSC SSCE Mathematics Advanced): Flashcards

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Differentiating the trigonometric functions
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Derivative of sin⁡x\sin x

cos⁡x\cos x

Derivative of cos⁡x\cos x

−sin⁡x-\sin x

Derivative of tan⁡x\tan x

sec⁡2x\sec^2 x

Unit required for trig derivative formulas

Radians

Derivative of sin⁡(ax+b)\sin(ax + b)

acos⁡(ax+b)a\cos(ax + b)

Derivative of cos⁡(ax+b)\cos(ax + b)

−asin⁡(ax+b)-a\sin(ax + b)

Rule for differentiating sin⁡(ax+b)\sin(ax+b)

Differentiate normally, multiply by coefficient aa

Second derivative of sin⁡x\sin x

−sin⁡x-\sin x

Fourth derivative of sin⁡x\sin x

sin⁡x\sin x

Equation of tangent to y=sin⁡xy=\sin x at origin

y=xy = x

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