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MATHEMATICAL FUNCTIONS
Function
Equivalent
In
v
er
se hy
perbolic
sine
ARCSINH(x)=LOG
(x+SQR(X
:!<
X+
1))
In
v
er
se hy
perbolic
cosine
ARCCOSH
(x)
=LOG
(x+SQR(X!
X+-1
))
Inv
erse hy
perbolic
tangent
ARCTANH(x)=LOG
((I
+x)/ (1-x))/ 2
Inverse
hyperbolic
secant
ARCSECH(x)=LOG
((
1+SQR(1-xu))
/ x)
Inverse
hy
perbolic
cosecant
ARCCSCH(x)=LOG
(( 1 +SGN(x)•SGN(x)*SQR
(l+ux))
/ x)
Inver
se
hyperbolic
cotangent
ARCCOTH(x)=LOG
((x+l)
/ (x-1))/ 2
If
you
use
the
se
functions,
a good
way
to
code
them
would
be
using
the
DEF
FN
statement.
for
example,
inste
ad
of
typing
the
formula
for
in
verse
hyperbolic
sine
each
time
you
need
it,
you
could
use a
program
line.
] 10
DEF
FN
INSIH(x)
=LOG
(x * x +
1)
,
then
ref
er
to
it
as
] 20 Z =
FN
INSIH(x)
A-30

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