get popupmenu ("A sinh[Bx] ,A cosh[Bx],A tanh[Bx],A csch[Bx],A sech[Bx],A ctnh[Bx],(-,arcsinh[Bx],arccosh[Bx],arctanh[Bx],arccsch[Bx],arcsech[Bx],arcctnh[Bx]",0,the mouseH, the mouseV )
put "sinh,cosh,tanh,csch,sech,ctnh,-,asinh,acosh,atanh,acsch,asech,actnh," into func
if it is empty then exit to HyperCard
put it into choice
put "A " & item choice of func & "[Bx]" into You
set the name of cd btn id 2 to You
show btn id 2
ask "What is the constant…A?" with 1
if it is empty then exit to HyperCard
put it into A
ask "What is the constant…B?" with 1
if it is empty then exit to HyperCard
put it into B
put "A " & item 2 of func & "[Bx]" into You
set the name of cd btn id 2 to You
hide btn id 2
put A && "*" && item choice of func && "(" & B && "* x)" into fld "function"
end mouseDown
-- part 2 (button)
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-- part name: A cosh[Bx]
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Hyperbolic Function Editor
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You can use this card to edit and write the hyperbolic function you wish to be graphed. Use the "Function Editor" button or enter your equation directly below. Use the
"Graph Equation" button to actually graph your work.
If you'd like to read more, click this button -->
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Hyperbolic Edit Box
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Hyperbolic Functions
Asinh(x), Acosh(x), Atanh(x)
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Hyperbolic Functions are very interesting as functions go. They are defined in terms of the exponential function exp(x) but behave very much like the trigonometric ones. The definitions of sinh(x) and
cosh(x) are given to the right.
The hyperbolics do behave in a similar
manner to the Trig functions. For example
csch(x) = 1/sinh(x). Likewise sech(x),
and ctnh(x) are the reciprocals of cosh(x)
and coth(x) respectively.
These functions have a long name and also some funny nicknames. Sinh(x) in long terms is called the Hyperbolic Sine Function. It's nickname, however, is pronounced "sinch" Cosh(x) is shortened to "Cawsh" (it sort of rhymes with wash). Tanh(x) is said as, "Tanch" like "ranch". Csch(x), Sech(x), Ctnh(x) are less common and I don't remember hearing them pronounced.
A very interesting feature of these functions is that they are found in many everyday instances. In fact you have seen the graph of Cosh(x) many times. It so happens that Cosh(x) has the same shape as the caternary. The caternary is the shape that hanging things like ropes form when suspended in the air.
