Problem 2495. Find the first N zeros of the 666 function

Created by Peter Cook

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Using the following definition of the 666 function for this problem:</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>f(n)=sin('nnn')-cos(n*n*n)</w:t></w:r><w:r><w:t>, write a function that returns the first N integer zeros of the 666 function, formatted as 'nnn'.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>sixsixsix(1) = should return 666</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>sixsixsix(7) should return 666 151515 181818 272727 424242 636363 666666</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Note 1: Consider a 'zero' to occur when f(n)&lt;1e-8</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Note 2: The sin and cosine functions must be in degrees, not radians.</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 type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

31 Solutions
15 Solvers

Last Solution submitted on Dec 04, 2020

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Rafael S.T. Vieira on 2 Nov 2020

This problem wants us to find the first n integer roots of the 666 function. It took me a while to understand this problem. The first integer root is at sind(666)-cosd(6^3).

Solution Comments

Solution 485014

3 Comments

3 Comments

Peter Cook on 9 Aug 2014

Although technically correct, this is sort of vexatious.

Guillaume on 10 Aug 2014

I've now submitted a less vexatious answer :)

James on 11 Aug 2014

"Technically correct" is the best kind of correct. :-)

Problem Recent Solvers15

Problem Tags

666 trigonometry zeros

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 2495. Find the first N zeros of the 666 function

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers15

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Problem 2495. Find the first N zeros of the 666 function

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers15

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Players