tangent
ratio of lengths of opposite side and the adjacent side of a right angled triangle; a trigonometric function
| rdfs:label |
"tangent"@en
|
|
skos:alt |
"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:date |
"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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| wd:statement/Q1129196-CD2AC8AE-23B3-43D4-AC47-235E884DEE06 | |
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| p:P2671 | wd:statement/Q1129196-883A5D8B-7051-4E1D-927D-6A280E13D870 |
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| wd:statement/Q1129196-a924459b-435e-2a1a-4f67-746d9f818a40 | |
| wd:statement/q1129196-9212C9CE-E735-47EF-B0ED-F7AC47542241 | |
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| p:P373 | wd:statement/q1129196-9DF905E4-9186-4A27-8963-BA65D3B766AF |
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| p:P6104 | wd:statement/Q1129196-3D41B758-4FF4-48F5-B0C5-5A4F08CB4E19 |
| p:P6706 | wd:statement/Q1129196-ac32af9c-4f29-f171-ec1d-e15372bd17ff |
| p:P6781 | wd:statement/Q1129196-0d5c2871-47ee-fa46-87ec-13e3aeac08f5 |
| p:P7235 | wd:statement/Q1129196-1f6e0db3-4ac6-65a7-b285-d55ff598ff95 |
| wd:statement/Q1129196-40e7a3a4-4483-c08e-ec10-08e80920c72f | |
| wd:statement/Q1129196-b1b4979b-49eb-d82f-6437-8591ae77533c | |
| p:P7554 | wd:statement/Q1129196-19e134e2-4b74-d7dc-ddb1-fcfe9414a709 |
| p:P8313 | wd:statement/Q1129196-C39E73BE-5177-4212-BACC-7A3C0F05991D |
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| wd:statement/Q1129196-d593ba86-44ba-aa5f-6061-fe22461e7713 | |
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|
p:direct- |
<http:/ |
| 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>⁡</mo><mi>x</mi><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</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">∞</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">∑</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">∞</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">−</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">−</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">−</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">−</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">⋯</mo><mo>,</mo><mspace width="2em"></mspace><mrow data-mjx-texclass="ORD"><mtext>for </mtext></mrow><mo stretchy="false">|</mo><mi>x</mi><mo stretchy="false">|</mo><mo><</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>π</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:/ |
| 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>⁡</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>⁡</mo><mi>x</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>cos</mi><mo>⁡</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>⁡</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>⁡</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>⁡</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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