Hyperbolic functions and the unit hyperbola | Hyperbolic functions | Precalculus | Khan Academy

Why they are called hyperbolic functions

Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!

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[hiltonkelsey]

Once again, Khan academy saves me life. Never thought I would still be using this in college.

[steliospsarrakis]

I am in first year of physics at university and at math lesson the teacher didnt explain anything.But YOU ARE REALLY AWSOME!!!Thank you for saving me!!!Greetings from Greece!!!!

[academicalisthenics]

Why is this video not present on the site

[barryhughes]

At last, an explanation of the derivation of the hyperbolic functions. Thank you.

[battlewing]

oh hell this is how you explain hyperbolic functions college teacher ruined it with just formula writing and solving problems based on formula that's all she did

[das]

What seems to be lacking in math tutorials is the background history to the origins of the concepts, mathematicians, it only need to be brief statement to link how math evolved into the list of axioms

[klmklmism]

I'm a 3rd year physics student and this is the first time I actually understood this. You're awesome!

[philbert]

Every time I hear hyperbolic I think of the hyperbolic time chamber from dragon ball z

[AlphaCrucis]

I can't believe I've gone nearly four years without realizing this. This is awesome!

[Hoodratliker]

I wonder if Sal just knows all of this through memory or if he has a textbook next to him thats refreshing his memory...

[ucasvb]

It's something called the "hyperbolic angle". It's a bit tricky to explain, but it would be sweet if Sal did a video on it.

[priestmarmore]

My college professor talks as fast as a rocket so I have to thank you cause you are my professor. One day you'll be a millionaire

[reznovvazileski]

sweet \o/ with a tiny little bit of help from khan explaining what the hell a cosh is in mathemetical form I found myself a way to derive Cos(x)Cosh(y) - Sin(x)Sinh(y) = x -iy = z.
So now I'm going to celebrate and feel like a mathgod for a second before I continue on with my assignment xD

[JEHAD]

More hyperbolic functions please. Also I would love to see elliptic function.

[michaelwinshi]

You are awesome at drawing with the mouse
but i still didn't undertstand why did they even come up with these functions???
how did they write them in terms of e^(x) amd all that ???

[sethuramanjambunathan]

For circle, t is ankle and is represented. For hyperbole, give geometrical interpretation for t. Nobody gives the interpretation for this.

[abaddon]

You make math much easier to understand

[theleastcreative]

If t is the angle in the circular trig functions, what is t in the Hyperbolic trig functions?

[edwardgalliano]

I like "hyperbolic cosine theta" equals the quantity e raised to the i theta plus e raised to the minus i theta the quantity divided by two from Khan Academy and I have a graphical proof.

[ابراهيماحمدصالحالسقاف]

fantastic, , I love this explanation, actually, I love this channel.