Difference between revisions of "Graphs of the Tangent, Cotangent, Cosecant and Secant Functions"

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(fixing link to go straight to pdf)
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== Secant, Cosecant, and Cotangent ==
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=== Secant ===
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The '''secant''' of an angle is the reciprocal of its cosine.
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<math>\sec x = \frac{1}{\cos x}</math>
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=== Cosecant ===
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The '''cosecant''' of an angle is the reciprocal of its sine.
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<math>\operatorname{cosec} x = \frac{1}{\sin x}</math> <ref group="note">Some sources may use <math>\csc x</math>, but this notation is not endorsed by Cambridge</ref>
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=== Cotangent ===
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The '''cotangent''' of an angle is the reciprocal of its tangent.
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<math>\cot x = \frac{1}{\tan x}</math>
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=== Graphs ===
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<gallery widths="240px" >
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Secant.svg|Graph of sec x
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Cosecant.svg|Graph of cosec x
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Cotangent.svg|Graph of cot x
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</gallery>
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==Resources==
 
* [https://mathresearch.utsa.edu/wikiFiles/MAT1093/Graphs%20of%20the%20Tangent,%20Cotangent,%20Cosecant%20and%20Secant%20Functions/Esparza%201093%20Notes%202.5.pdf Graphs of the Tangent, Cotangent, Cosecant and Secant Functions]. Written notes created by Professor Esparza, UTSA.
 
* [https://mathresearch.utsa.edu/wikiFiles/MAT1093/Graphs%20of%20the%20Tangent,%20Cotangent,%20Cosecant%20and%20Secant%20Functions/Esparza%201093%20Notes%202.5.pdf Graphs of the Tangent, Cotangent, Cosecant and Secant Functions]. Written notes created by Professor Esparza, UTSA.

Revision as of 15:46, 5 October 2021

Secant, Cosecant, and Cotangent

Secant

The secant of an angle is the reciprocal of its cosine.

Cosecant

The cosecant of an angle is the reciprocal of its sine.

[note 1]

Cotangent

The cotangent of an angle is the reciprocal of its tangent.

Graphs

  • Graph of sec x

  • Graph of cosec x

  • Graph of cot x

Resources


Cite error: <ref> tags exist for a group named "note", but no corresponding <references group="note"/> tag was found, or a closing </ref> is missing

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