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cos(-56)=                                                    0.559192903471

cos(cos(-56))=                                            0.999952373947

cos(cos(cos(-56)))=                                    0.999847709663

cos(cos(cos(cos(-56))))=                            0.999847741541

cos(cos(cos(cos(cos(-56)))))=                    0.999847741531

cos(cos(cos(cos(cos(cos(-56))))))=            0.999847741531

cos(cos(cos(cos(cos(cos(cos(-56)))))))=    0.999847741531

 

As you can see, it begins to repeat. This happens with cos(n), and cos(cos(n)), and so on.

 

What, mathematically, is the cause for this?

 
 Dec 20, 2019

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