Golden Section with Trigonometric Function and Pell-Bhaskara Equation


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Abstract


This work presents the obtaining of the representation of golden section in trigonometric functions; the analysis is extensive for hyperbolic functions. Two problems which lead to the Pell equation such as triangular and square numbers and the cattle problem of Archimedes are discussed. The polynomial form of Pell equation is necessary. For last, generating Pell equation from Diophantine equation is included. The objective is to develop alternative solutions by applying Matlab to the two issues presented here.
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Keywords


Golden Section; Fibonacci Sequence; Diophantine Equation; Chebyshev Polynomial; Hyperbolic Functions

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