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--- hyperbolic_functions [2018/04/10 20:20] – richardrussell
+++ hyperbolic_functions [2024/01/05 00:22] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
+//by Richard Russell, April 2018//
+BBC BASIC doesn't include the [[https://en.wikipedia.org/wiki/Hyperbolic_function|hyperbolic trig functions]] (**sinh**, **cosh**, **tanh** etc.) as a built-in feature, but they can easily be synthesised as user-defined functions as follows:
+<code bb4w>
+      DEF FNsinh(x) = (EXP(x) - EXP(-x)) / 2
+      DEF FNcosh(x) = (EXP(x) + EXP(-x)) / 2
+      DEF FNtanh(x) = (EXP(x) - EXP(-x)) / (EXP(x) + EXP(-x))
+      DEF FNcoth(x) = (EXP(x) + EXP(-x)) / (EXP(x) - EXP(-x))
+      DEF FNsech(x) = 2 / (EXP(x) + EXP(-x))
+      DEF FNcsch(x) = 2 / (EXP(x) - EXP(-x))
+</code>