860
Appendix A: Functions and Instructions
tanh(
squareMatrix1
)
⇒
squareMatrix
Returns the matrix hyperbolic tangent of
squareMatrix1
. This is
not the same as calculating the
hyperbolic tangent of each element. For information
about the calculation method, refer to
cos()
.
squareMatrix1
must be diagonalizable. The result
always contains floating-point numbers.
In Radian angle mode:
tanh([1,5,3;4,2,1;6,
ë
2,1])
¸
ë
.097… .933… .425…
.488… .538…
ë
.129…
1.282…
ë
1.034… .428…
tanh
ê
()
MATH/Hyperbolic menu
tanh
ê
(
expression1
)
⇒
expression
tanh
ê
(
list1
)
⇒
list
tanh
ê
(
expression1
)
returns the inverse hyperbolic
tangent of the argument as an expression.
tanh
ê
(
list1
)
returns a list of the inverse hyperbolic
tangents of each element of
list1
.
In rectangular complex format mode:
tanh
ê
(0)
¸
0
tanh
ê
({1,2.1,3})
¸
{
ˆ
.518
...
ì
1.570
...
ø
i
ln(2)
2
ì
p
2
ø
i
}
tanh
ê
(
squareMatrix1
)
⇒
squareMatrix
Returns the matrix inverse hyperbolic tangent of
squareMatrix1
. This is
not the same as calculating the
inverse hyperbolic tangent of each element. For
information about the calculation method, refer to
cos()
.
squareMatrix1
must be diagonalizable. The result
always contains floating-point numbers.
In Radian angle mode and Rectangular complex
format mode:
tanh
ê
([1,5,3;4,2,1;6,
ë
2,1])
¸
ë
.099…+.164…
ø
i
.267…
ì
1.490…
ø
i
…
ë
.087…
ì
.725…
ø
i
.479…
ì
.947…
ø
i
…
.511…
ì
2.083…
ø
i
ë
.878…+1.790…
ø
i
…
taylor()
MATH/Calculus menu
taylor(
expression1
,
var
,
order
[
,
point
]
)
⇒
expression
Returns the requested Taylor polynomial. The
polynomial includes non-zero terms of integer
degrees from zero through
order
in (
var
minus
point
).
taylor()
returns itself if there is no truncated power
series of this order, or if it would require negative or
fractional exponents. Use substitution and/or
temporary multiplication by a power of
(
var
minus
point
) to determine more general power
series.
point
defaults to zero and is the expansion point.
taylor(
e
^(
‡
(x)),x,2)
¸
taylor(
e
^(t),t,4)|t=
‡
(x)
¸
taylor(1/(x
ù
(x
ì
1)),x,3)
¸
expand(taylor(x/(x
ù
(x
ì
1)),
x,4)/x,x)
¸
Summary of Contents for Titanium TI-89
Page 9: ...Getting Started 6 TI 89 Titanium keys Ë Ì Í Ê ...
Page 34: ...Getting Started 31 2 or D 2 B u s i n e s s D B D B Press Result ...
Page 43: ...Getting Started 40 3 0 D B D D B D Press Result ...
Page 44: ...Getting Started 41 D 2 0 0 2 D B Scroll down to October and press Press Result ...
Page 58: ...Getting Started 55 Example Set split screen mode to TOP BOTTOM Press Result 3 B D ...
Page 70: ...Getting Started 67 ...
Page 175: ...Operating the Calculator 172 From the Keyboard ...
Page 456: ...Tables 453 ...
Page 527: ...Data Matrix Editor 524 ...