Last updated on Sep 20, 2026

Derivatives of Circular Functions (VCE SSCE Mathematical Methods): Flashcards

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Derivatives of Circular Functions

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Derivative of $\sin(k\theta)$

$k\cos(k\theta)$

Derivative of $\cos(k\theta)$

$-k\sin(k\theta)$

Derivative of $\tan(k\theta)$

$k\sec^2(k\theta)$

$\lim_{\theta \to 0} \frac{\sin \theta}{\theta}$

$1$

$\sec \theta$ in terms of $\cos \theta$

$\frac{1}{\cos \theta}$

Derivative of $\sin \theta$

$\cos \theta$

Derivative of $\cos \theta$

$-\sin \theta$

Derivative of $\tan \theta$

$\sec^2 \theta$

Sign when differentiating $\cos(k\theta)$

Negative

Rule for composite trig functions

Chain rule

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