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id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="disambig-see-also"><i>See also:</i> <b class="Latn"><a href="/wiki/arc" title="arc">arc</a></b>, <b class="Latn"><a href="/wiki/ar%C3%A7" title="arç">arç</a></b>, <b class="Latn"><a href="/wiki/%C4%81rc-" title="ārc-">ārc-</a></b>, <b class="Latn"><a href="/wiki/Arc" title="Arc">Arc</a></b><span class="serial-comma">,</span><span class="serial-and"> <i>and</i></span> <b class="Latn"><a href="/wiki/ARC" title="ARC">ARC</a></b></div> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="English">English</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=arc-&action=edit&section=1" title="Edit section: English"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Etymology">Etymology</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=arc-&action=edit&section=2" title="Edit section: Etymology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>From <span class="etyl"><a href="https://en.wikipedia.org/wiki/Latin" class="extiw" title="w:Latin">Latin</a></span> <i class="Latn mention" lang="la"><a href="/wiki/arcus#Latin" title="arcus">arcus</a></i> <span class="mention-gloss-paren annotation-paren">(</span><span class="mention-gloss-double-quote">“</span><span class="mention-gloss">bow, arc</span><span class="mention-gloss-double-quote">”</span><span class="mention-gloss-paren annotation-paren">)</span>, as they represent an angle or arc. Compare etymology of <a href="/wiki/arch#English" title="arch">arch</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Pronunciation">Pronunciation</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=arc-&action=edit&section=3" title="Edit section: Pronunciation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><style data-mw-deduplicate="TemplateStyles:r50165410">.mw-parser-output .k-player .k-attribution{visibility:hidden}</style><table class="audiotable" style="vertical-align: middle; display: inline-block; list-style: none; line-height: 1em; border-collapse: collapse; margin: 0;"><tbody><tr><td>Audio <span class="ib-brac qualifier-brac">(</span><span class="usage-label-accent"><span class="ib-content"><a href="https://en.wikipedia.org/wiki/American_English" class="extiw" title="w:American English">US</a></span></span><span class="ib-brac qualifier-brac">)</span><span class="ib-colon qualifier-colon">:</span></td><td class="audiofile"><span typeof="mw:File"><span><audio id="mwe_player_0" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="175" style="width:175px;" data-durationhint="1" data-mwtitle="LL-Q1860_(eng)-Flame,_not_lame-arc-.wav" data-mwprovider="wikimediacommons"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/60/LL-Q1860_%28eng%29-Flame%2C_not_lame-arc-.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-arc-.wav.ogg" type="audio/ogg; codecs="vorbis"" data-transcodekey="ogg" data-width="0" data-height="0" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/60/LL-Q1860_%28eng%29-Flame%2C_not_lame-arc-.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-arc-.wav.mp3" type="audio/mpeg" data-transcodekey="mp3" data-width="0" data-height="0" /><source src="//upload.wikimedia.org/wikipedia/commons/6/60/LL-Q1860_%28eng%29-Flame%2C_not_lame-arc-.wav" type="audio/wav" data-width="0" data-height="0" /></audio></span></span></td><td class="audiometa" style="font-size: 80%;">(<a href="/wiki/File:LL-Q1860_(eng)-Flame,_not_lame-arc-.wav" title="File:LL-Q1860 (eng)-Flame, not lame-arc-.wav">file</a>)</td></tr></tbody></table></li></ul> <div class="mw-heading mw-heading3"><h3 id="Prefix">Prefix</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=arc-&action=edit&section=4" title="Edit section: Prefix"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><span class="headword-line"><strong class="Latn headword" lang="en">arc-</strong></span> </p> <ol><li><span class="usage-label-sense"><span class="ib-brac">(</span><span class="ib-content"><a href="/wiki/mathematics" title="mathematics">mathematics</a></span><span class="ib-brac">)</span></span> <span class="use-with-mention"><span class="Latn" lang="en">Used to form the names of <a href="/wiki/inverse_trigonometric_function#English" title="inverse trigonometric function">inverse trigonometric functions</a>, and the symbols for these functions.</span></span> <dl><dd><i>arc-sine</i> (<i>British</i>), <i>arcsine</i> (<i>US</i>)</dd> <dd><i>arctan</i></dd></dl></li> <li><span class="usage-label-sense"><span class="ib-brac">(</span><span class="ib-content"><a href="/wiki/mathematics" title="mathematics">mathematics</a><span class="ib-comma">,</span> sometimes <a href="/wiki/Appendix:Glossary#proscribed" title="Appendix:Glossary">proscribed</a></span><span class="ib-brac">)</span></span> <span class="form-of-definition use-with-mention">Alternative form of <span class="form-of-definition-link"><i class="Latn mention" lang="en"><a href="/wiki/ar-#English" title="ar-">ar-</a></i></span></span> <span class="use-with-mention"><span class="Latn" lang="en">used to form the names of <a href="/wiki/inverse_hyperbolic_function#English" title="inverse hyperbolic function">inverse hyperbolic functions</a>, and the symbols for these functions.</span></span></li></ol> <div class="mw-heading mw-heading4"><h4 id="Usage_notes">Usage notes</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=arc-&action=edit&section=5" title="Edit section: Usage notes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The use of <i>arc-</i> with hyperbolic functions is sometimes discouraged, as the term <i class="Latn mention" lang="en"><a href="/wiki/arc#English" title="arc">arc</a></i> implies a circular angle. The forms with <i class="Latn mention" lang="en"><a href="/wiki/ar-#English" title="ar-">ar-</a></i> (derived from hyperbolic <i class="Latn mention" lang="en"><a href="/wiki/area#English" title="area">area</a></i>) are more common anyway due to being shorter. </p> <div class="mw-heading mw-heading4"><h4 id="Synonyms">Synonyms</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=arc-&action=edit&section=6" title="Edit section: Synonyms"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="Latn" lang="en"><a href="/wiki/a-#English" title="a-">a-</a></span></li> <li><span class="None" lang="en"><a href="/wiki/-1#English" title="-1"><sup>-1</sup></a></span></li></ul> <div class="mw-heading mw-heading4"><h4 id="Derived_terms">Derived terms</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=arc-&action=edit&section=7" title="Edit section: Derived terms"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="derivedterms CategoryTreeTag" data-ct-options="{"mode":10,"hideprefix":20,"showcount":false,"namespaces":[0],"notranslations":false}"><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="English_terms_prefixed_with_arc-" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:English_terms_prefixed_with_arc-" title="Category:English terms prefixed with arc-">English terms prefixed with arc-</a></bdi></div><div class="CategoryTreeChildren" style="display:none"></div></div></div> <div class="mw-heading mw-heading4"><h4 id="Translations">Translations</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=arc-&action=edit&section=8" title="Edit section: Translations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="NavFrame" id="Translations-forms_the_names_of_inverse_trigonometric_and_hyperbolic_functions"><div class="NavHead" style="text-align:left">forms the names of inverse trigonometric and hyperbolic functions</div><div class="NavContent"><table class="translations" role="presentation" data-gloss="forms the names of inverse trigonometric and hyperbolic functions"><tbody><tr><td class="translations-cell multicolumn-list" colspan="3"><style data-mw-deduplicate="TemplateStyles:r81584270">.mw-parser-output .translations{width:100%}.mw-parser-output .translations-cell{background-color:var(--wikt-palette-lightyellow,#FFFFe0);vertical-align:top;text-align:left}</style> <ul><li>Hungarian: <span class="Latn" lang="hu"><a href="/w/index.php?title=arkusz-&action=edit&redlink=1" class="new" title="arkusz- (page does not exist)">arkusz-</a></span></li> <li>Portuguese: <span class="Latn" lang="pt"><a href="/wiki/arco-#Portuguese" title="arco-">arco-</a></span></li> <li>Turkish: <span class="Latn" lang="tr"><a href="/w/index.php?title=ark-&action=edit&redlink=1" class="new" title="ark- (page does not exist)">ark-</a></span></li></ul> </td></tr></tbody></table></div></div> <div class="mw-heading mw-heading3"><h3 id="See_also">See also</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=arc-&action=edit&section=9" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/arch-" title="arch-">arch-</a> (<i>encompassing a wide assortment</i>)</li></ul> <div class="mw-heading mw-heading3"><h3 id="Anagrams">Anagrams</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=arc-&action=edit&section=10" title="Edit section: Anagrams"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="Latn" lang="en"><a href="/wiki/CAR#English" title="CAR">CAR</a></span>, <span class="Latn" lang="en"><a href="/wiki/CRA#English" title="CRA">CRA</a></span>, <span class="Latn" lang="en"><a href="/wiki/Car#English" title="Car">Car</a></span>, <span class="Latn" lang="en"><a href="/wiki/RAC#English" title="RAC">RAC</a></span>, <span class="Latn" lang="en"><a href="/wiki/RCA#English" title="RCA">RCA</a></span>, <span class="Latn" lang="en"><a href="/wiki/acr-#English" title="acr-">acr-</a></span>, <span class="Latn" lang="en"><a href="/wiki/car#English" title="car">car</a></span>, <span class="Latn" lang="en"><a href="/wiki/rac-#English" title="rac-">rac-</a></span></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; 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