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Display information for equation id:math.11046.2 on revision:11046

* Page found: Kampyle of Eudoxus (eq math.11046.2)

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Hash: ee6ca9a9f9087cf270521c64f03fe4b7

TeX (original user input): 

x=a\sec(t), y=a\tan(t)\sec(t)

TeX (checked): 

x=a\sec(t),y=a\tan(t)\sec(t)

LaTeXML (experimental; uses MathML) rendering

MathML (4.837 KB / 833 B) :

x = a ⁢ sec ⁡ ( t ) , y = a ⁢ tan ⁡ ( t ) ⁢ sec ⁡ ( t ) formulae-sequence x a t y a t t {\displaystyle x=a\sec(t),y=a\tan(t)\sec(t)} 
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SVG (10.774 KB / 3.867 KB) :

x equals a times secant left-parenthesis t right-parenthesis comma y equals a times tangent left-parenthesis t right-parenthesis times secant left-parenthesis t right-parenthesis

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Translations to Computer Algebra Systems

Translation to Maple

In Maple: x = a*sec(t), y = a*tan((t)*)*sec(t)

Information about the conversion process:

\sec: Secant; Example: \sec@@{z}

Will be translated to: sec($0)

Constraints: z != (k+1/2)*\cpi \forall k \in \Integers

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.14#E6

Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=sec


\tan: Tangent; Example: \tan@@{z}

Will be translated to: tan($0)

Constraints: z != (k+1/2)*\cpi \forall k \in \Integers

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.14#E4

Maple: https://www.maplesoft.com/support/help/maple/view.aspx?path=tan



Translation to Mathematica

In Mathematica: x = a*Sec[t], y = a*Tan[(t)*]*Sec[t]

Information about the conversion process:

\sec: Secant; Example: \sec@@{z}

Will be translated to: Sec[$0]

Constraints: z != (k+1/2)*\cpi \forall k \in \Integers

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.14#E6

Mathematica: https://reference.wolfram.com/language/ref/Sec.html


\tan: Tangent; Example: \tan@@{z}

Will be translated to: Tan[$0]

Constraints: z != (k+1/2)*\cpi \forall k \in \Integers

Relevant links to definitions:

DLMF: http://dlmf.nist.gov/4.14#E4

Mathematica: https://reference.wolfram.com/language/ref/Tan.html



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