- #1
ognik
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Does anyone perhaps have a good way for me to get a lasting 'intuition' about what inverse hyperbolics are? I look at, for example, the well known sin x; it is periodic.
Then, it seems, sinh x is a reflection of sin x about the line y=x.
(I found an example at 7. The Inverse Trigonometric Functions)
It ends up not very dissimilar from sin x , but with a limited range - it is not periodic?
Then arcsin x is again a reflection of sinh x about y=x. It looks closer to what sinx was , also not periodic?(example at Inverse Hyperbolic Functions)
But what do hyperbolic and inverse hyperbolic functions do - apart from causing me to see double after a while ...Sin is a wave, I can look at ripples in a pond etc. The others?
Then, it seems, sinh x is a reflection of sin x about the line y=x.
(I found an example at 7. The Inverse Trigonometric Functions)
It ends up not very dissimilar from sin x , but with a limited range - it is not periodic?
Then arcsin x is again a reflection of sinh x about y=x. It looks closer to what sinx was , also not periodic?(example at Inverse Hyperbolic Functions)
But what do hyperbolic and inverse hyperbolic functions do - apart from causing me to see double after a while ...Sin is a wave, I can look at ripples in a pond etc. The others?