I know if we set(adsbygoogle = window.adsbygoogle || []).push({});

[tex] x = \cosh \theta , y = \sinh \theta [/tex]

and graph for all [itex] \theta [/itex]'s, we get a hyperbolic curve since then

[tex]

x^2 - y^2 = 1.

[/tex]

But — unlike the case of making a circle by setting

[tex] x = \cos \theta , y = \sin \theta [/tex]

and graphing all the [itex] \theta [/itex]'s — in the hyperbolic graph the angle formed by the line connecting a point (x,y) to the origin and the positive x axis is not the corresponding angle [itex] \theta [/itex], making the original designations

[tex] x = \cosh \theta , y = \sinh \theta [/tex]

seem rather arbitrary, no?

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# Why are they called hyperbolic trig functions?

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