tangent

ratio of lengths of opposite side and the adjacent side of a right angled triangle; a trigonometric function
rdfs:label
"tangent"@en
skos:altLabel
"tan"@en
"tan function"@en
"tangent function"@en
schema:description
"ratio of lengths of opposite side and the adjacent side of a right angled triangle; a trigonometric function"@en
schema:dateModified "2026-10-29T21:56:34+00:00"^^xsd:dateTime
schema:version 2562316891
wikibase:identifiers 16
wikibase:sitelinks 49
wikibase:statements 38
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p:P8313 wd:statement/Q1129196-C39E73BE-5177-4212-BACC-7A3C0F05991D
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p:P9621 wd:statement/Q1129196-b53a5848-4ddc-eda9-eacd-74c4066a9d9c
p:direct-normalized/P2671 <http://g.co/kg/g/1211qb1w>
wdt:P10969 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>tan</mi><mo>&#x2061;</mo><mi>x</mi><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>2</mn><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msup><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mo stretchy="false">&#x2212;</mo><mn>1</mn><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><msup><mn>2</mn><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>n</mi></mrow></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mn>2</mn><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>n</mi></mrow></mrow></msup><mo stretchy="false">&#x2212;</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>n</mi></mrow></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>2</mn><mi>n</mi><mo stretchy="false">)</mo><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>n</mi><mo stretchy="false">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><mo stretchy="false">=</mo><mi>x</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></mfrac></mrow><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>5</mn></mrow></mrow></mfrac></mrow><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msup><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>7</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><mn>1</mn><mn>5</mn></mrow></mrow></mfrac></mrow><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>7</mn></mrow></msup><mo stretchy="false">+</mo><mo stretchy="false">&#x22EF;</mo><mo>,</mo><mspace width="2em"></mspace><mrow data-mjx-texclass="ORD"><mtext>for&#xA0;</mtext></mrow><mo stretchy="false">|</mo><mi>x</mi><mo stretchy="false">|</mo><mo>&lt;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03C0;</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">.</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P11497 "4.14.E4"
wdt:P11514 "tangens-c635f7"
wdt:P12888 "df-tan"
wdt:P12975 "10222"
wdt:P1343 ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
wdt:P1417 "topic/tangent-mathematical-function"
wdt:P1568 real numbers without odd multiples of π/2
wdt:P1571 set of real numbers
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Tangent-plot.svg>
wdt:P1851 set of real numbers
wdt:P1889 tangent
Prevot Island
wdt:P2396 set of real numbers
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>tan</mi><mo>&#x2061;</mo><mi>x</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>sin</mi><mo>&#x2061;</mo><mi>x</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>cos</mi><mo>&#x2061;</mo><mi>x</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2671 "/g/1211qb1w"
wdt:P2812 "Tangent"
wdt:P31 odd function
meromorphic function
trigonometric function
wdt:P361 tangent and cotangent
wdt:P373 "Tangent function"
wdt:P4223 "tangente"
wdt:P5610 "transc1#tan"
wdt:P575 "1092-01-01T00:00:00+00:00"^^xsd:dateTime
wdt:P6058 "images/Fonction_tangente/1012309"
wdt:P6104 WikiProject Mathematics
wdt:P6706 "tangènte"
wdt:P6781 "Definition:Tangent_Function"
wdt:P7235 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>cos</mi><mo>&#x2061;</mo><mi>x</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>sin</mi><mo>&#x2061;</mo><mi>x</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>tan</mi><mo>&#x2061;</mo><mi>x</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7554 "Tangent"
wdt:P8313 "tangens"
wdt:P8865 cotangent
arcus tangent
wdt:P9621 "tangente-trigonometrica"
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