Red: Hyperbolic Cosecant: csch(x) = 2 / (ex − e−x)
Blue: Hyperbolic Secant: sech(x) = 2 / (ex + e−x)
Green: Hyperbolic Cotangent: coth(x) = (ex + e−x) / (ex − e−x)
Plotted with cubic bézier-curves. The bézier-controll-points are calculated to give a very accurate result. Symbols are embeded in "Computer Modern" (TeX) font.
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Original upload log
This image is a derivative work of the following images:
2008-06-10T22:09:37Z Geek3 520x220 (13725 Bytes) {{Information |Description={{en|1=Hyperbolic Secant function plot sech(x) = 2 / (e^x + e^-x) Plotted with cubic bezier-curves. The bezier-controll-points are calculated to give a very accurate result. Asymptotes are included
2008-06-10T22:11:52Z Geek3 520x520 (13667 Bytes) {{Information |Description={{en|1=Hyperbolic Cosecant function plot csch(x) = (e^x - e^-x) / 2 Plotted with cubic bezier-curves. The bezier-controll-points are calculated to give a very accurate result. Asymptotes are includ
2008-06-10T22:07:05Z Geek3 420x420 (12542 Bytes) {{Information |Description={{en|1=Hyperbolic Cotangent function plot coth(x) = (e^x + e^-x) / (e^x - e^-x) Plotted with cubic bezier-curves. The bezier-controll-points are calculated to give a very accurate result. Asymptote
{{Information |Description={{en|1=Hyperbolic Secant function plot sech(x) = 2 / (e^x + e^-x) Plotted with cubic bezier-curves. The bezier-controll-points are calculated to give a very accurate result. Asymptotes are included but commented out. Symbols ar
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Short title
Csch.svg - a nice plot of the hyperbolic cosecant function
Image title
Csch-function (red)
csch(x) = 2 / (e^x - e^-x)
Sech-function (blue)
sech(x) = 2 / (e^x + e^-x)
Coth-function (green)
tanh(x) = (e^x + e^-x) / (e^x - e^-x)
from Wikimedia Commons
plotted with cubic bezier-curves
the bezier-controll-points are calculated to give a very accurate result.
symbols in "Computer Modern" (TeX) font embedded
created with a plain text editor