<p class="paragraph-header">Trigonometric derivatives</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 590px;"><colgroup><col style="width: 37.2881%;"><col style="width: 62.7119%;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><strong>Function</strong></th><th style="text-align: center; --cell-justify: center"><strong>Derivative</strong></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">\(\sin x\)</td><td style="text-align: center; --cell-justify: center">\(\cos x\)</td></tr><tr><td style="text-align: center; --cell-justify: center">\(\cos x\)</td><td style="text-align: center; --cell-justify: center">\(-\sin x\)</td></tr><tr><td style="text-align: center; --cell-justify: center">\(\tan x\)</td><td style="text-align: center; --cell-justify: center">\(\sec^2x\)</td></tr><tr><td style="text-align: center; --cell-justify: center">\(\cot x\)</td><td style="text-align: center; --cell-justify: center">\(-\mathrm{cosec}^2x\)</td></tr><tr><td style="text-align: center; --cell-justify: center">\(\sec x\)</td><td style="text-align: center; --cell-justify: center">\(\sec x\tan x\)</td></tr><tr><td style="text-align: center; --cell-justify: center">\(\mathrm{cosec}\,x\)</td><td style="text-align: center; --cell-justify: center">\(-\mathrm{cosec}\,x\cot x\)</td></tr></tbody></table></div></div>
<p>Angles are measured in radians. Apply each derivative rule only where the original function is defined; reciprocal trigonometric functions require their denominators to be nonzero.</p>

Angles are measured in radians. Apply each derivative rule only where the original function is defined; reciprocal trigonometric functions require their denominators to be nonzero.

Trigonometric Derivatives

Trigonometric Derivatives

Function	Derivative
\(\sin x\)	\(\cos x\)
\(\cos x\)	\(-\sin x\)
\(\tan x\)	\(\sec^2x\)
\(\cot x\)	\(-\mathrm{cosec}^2x\)
\(\sec x\)	\(\sec x\tan x\)
\(\mathrm{cosec}\,x\)	\(-\mathrm{cosec}\,x\cot x\)