<p>Inverse trigonometric functions return the following principal values.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 540px;"><colgroup><col style="width: 33.3333%;"><col style="width: 33.3333%;"><col style="width: 33.3333%;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><strong>Inverse function</strong></th><th style="text-align: center; --cell-justify: center"><strong>Degrees</strong></th><th style="text-align: center; --cell-justify: center"><strong>Radians</strong></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">\(\cos^{-1}x\), \(-1\le x\le1\)</td><td style="text-align: center; --cell-justify: center">\(0^\circ\le\theta\le180^\circ\)</td><td style="text-align: center; --cell-justify: center">\(0\le\theta\le\pi\)</td></tr><tr><td style="text-align: center; --cell-justify: center">\(\sin^{-1}x\), \(-1\le x\le1\)</td><td style="text-align: center; --cell-justify: center">\(-90^\circ\le\theta\le90^\circ\)</td><td style="text-align: center; --cell-justify: center">\(-\pi/2\le\theta\le\pi/2\)</td></tr><tr><td style="text-align: center; --cell-justify: center">\(\tan^{-1}x\), \(x\in\mathbb R\)</td><td style="text-align: center; --cell-justify: center">\(-90^\circ&lt;\theta&lt;90^\circ\)</td><td style="text-align: center; --cell-justify: center">\(-\pi/2&lt;\theta&lt;\pi/2\)</td></tr></tbody></table></div></div>
<p>A principal value is one angle; an equation may have further solutions in its stated interval.</p>

Inverse trigonometric functions return the following principal values.

A principal value is one angle; an equation may have further solutions in its stated interval.

Principal Values

Principal Values

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Inverse function	Degrees	Radians
\(\cos^{-1}x\), \(-1\le x\le1\)	\(0^\circ\le\theta\le180^\circ\)	\(0\le\theta\le\pi\)
\(\sin^{-1}x\), \(-1\le x\le1\)	\(-90^\circ\le\theta\le90^\circ\)	\(-\pi/2\le\theta\le\pi/2\)
\(\tan^{-1}x\), \(x\in\mathbb R\)	\(-90^\circ<\theta<90^\circ\)	\(-\pi/2<\theta<\pi/2\)