Tuesday, 5 March 2019

complex analysis - Euler's formula with base 10?



Does Euler's formula (eix=cosx+isinx) work in base 10? If it does, how could I express it?


Answer



We can try converting the formula to base 10.




Let log be the natural (i.e., base e) logarithm. Then 10=elog10, so:



10ix=eixlog10=cos(xlog10)+isin(xlog10)


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