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Mercator Sailing: Course and Distance
09-10-2022, 03:17 PM
Post: #25
RE: Mercator Sailing: Course and Distance
(08-26-2018 07:18 AM)Dieter Wrote:  Hint: the expression ln(tan(45°+x/2)) in the "book" formula is equivalent to artanh(sin(x)).

FYI, atanh(sin(x)) = asinh(tan(x)) = gd-1(x) = x + x^3/6 + x^5/24 + ...

https://en.wikipedia.org/wiki/Gudermannian_function
The Secret Connection between Hyperbolic and Trigonometric Functions


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RE: Mercator Sailing: Course and Distance - Albert Chan - 09-10-2022 03:17 PM



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