Problem 42306. Esoteric Trigonometry

Created by goc3

Solve Later

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Many of these terms are no longer in common use.\"</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Nonetheless, suppose you do need to use one of these esoteric trigonometric functions that is not built into Matlab. Write a function that takes an angle as the first input (radians) and the trigonometric function name as the second input (string, function name will be completely spelled out). Make sure your function covers both the esoteric and commonly used functions; then it's a more useful tool. In particular, include sine, cosine, tangent, cosecant, secant, cotangent, versine, vercosine, coversine, covercosine, haversine, havercosine, hacoversine, hacovercosine, exsecant, excosecant, and chord. Formulas for each function are available</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/List_of_trigonometric_identities\"><w:r><w:t>here</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray 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Last Solution submitted on Apr 08, 2022

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Solution 669778

1 Comment

1 Comment

Dyuman Joshi on 18 Mar 2022

eval is still valid if you use it this way, welp

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Problem 42306. Esoteric Trigonometry

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Problem 42306. Esoteric Trigonometry

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