Hyperbolic Functions - Definitions and graph of cosh x
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Uploader Comments (donylee)
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I know this is terrible immature but I crack up every time him he pronounces sinh as "chink"
9 months ago 8
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How do you go from a unit hyperbola, defining the hyp trig functions... all the way to their Euler equivalent expressions? I see no way and have yet to see a sound proof. Most mathematicians use circular reasoning, most websites do too. "Its definition" is the age old strategy for weak mathematicians to escape the challenge of proof.
3 years ago 4
All Comments (41)
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Hyperbola
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horrible diction..
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i saw an asian and i m like uhOh this is gonna suck but you are AMAZINGGGGGG!!
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@michalchik same here! i was just going to comment about that. :D tbf it'd be the same if I (a white guy) was lecturing and I kept saying 'cracker'
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@CogitoErgoCogitoSum Why wouldn't it be derived through the series expansion like the Euler expressions for other trig functions?
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chink.
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Vincenzo Riccati (1707-1775) introduced the hyperbolic functions. Johann Hein-
rich Lambert (1728-1777) further developed the theory of hyperbolic functions in
Histoire de l’acadmie Royale des sciences et des belles-lettres de Berlin, vol. XXIV,
p. 327 (1768).
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Thanks a lot! your video really refreshed my mind, it have been about 15 yrs since I studied this. I am preparing for my PE license and your video is very helpful. Thanks!
largui23 3 years ago
Not a problem!
PE? Professional Engineering is it?
donylee 3 years ago
Hey Zubb90k, I'm just curious, what does EMO mean?
Anyways, I'll have to applaud lllllrrrrr for spotting the mistake. From my calculus book, it should be:
sinh(x+y)=sinh(x)cosh(y)+cosh(x)sinh(y) SIMILAR to the trig identity for sin(x+y).
Sorry everybody.
donylee 4 years ago