“Mathematics is more dramatic and exciting than most people think, and - more importantly - today’s mathematics is far closer to the flexibility of life than it is to the rigidity of Euclid.” To live up to these words by Ian Stewart, we must broaden the family of spiral functions. For a more flexible use and application of trigonacci, identities equivalent to those in regular or hyperbolic trigonometry have been made. While some identities like the odd/even ones do not apply as negative numbers are not included in the domain, others such as reciprocal and ratio identities, double-angle identities and half-angle identities have been reshaped to fit the truths of how trigonacci functions work.
Sources: Stewart, Ian. Life's Other Secret: The New Mathematics of the Living World. New York: John Wiley's Sons., n.d. Print.
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