Texas Instruments Titanium TI-89, Руководство пользователя

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Appendix A: Functions and Instructions 859
tan() @
2 Y
key
H
Y
key
tan( expression1 )
⇒
expression
tan( list1 )
⇒
list
tan(
expression1
)
returns the tangent of the argument
as an expression.
tan(
list1
)
returns a list of the tangents of all elements
in
list1
.
Note: The argument is interpreted as either a
degree or radian angle, according to the current
angle mode. You can use
ó
or
ô
to override the
angle mode temporarily.
In Degree angle mode:
tan((
p
/4)
ô
)
¸
1
tan(45)
¸
1
tan({0,60,90}) ¸
{0
‡
3 undef}
In Radian angle mode:
tan( p /4) ¸ 1
tan(45
¡
)
¸
1
tan({
p
,
p
/3,-
p
,
p
/4})
¸
{0
‡
3 0 1}
tan(
squareMatrix1
)
⇒
squareMatrix
Returns the matrix tangent of
squareMatrix1
. This is
not the same as calculating the 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:
tan([1,5,3;4,2,1;6,
ë
2,1])
¸






ë 28.291… 26.088… 11.114…
12.117… ë 7.835… ë 5.481…
36.818…
ë
32.806…
ë
10.459…
tan
ê
() @
¥ S
key
H
2 S
key
tan
ê
(
expression1
)
⇒
expression
tan
ê
(
list1
)
⇒
list
tan
ê
(
expression1
)
returns the angle whose tangent
is
expression1
as an expression.
tan
ê
( list1 )
returns a list of the inverse tangents of
each element of
list1
.
Note: The result is returned as either a degree or
radian angle, according to the current angle mode
setting.
In Degree angle mode:
tan ê (1) ¸ 45
In Radian angle mode:
tan ê ({0,.2,.5}) ¸
{0 .197 ... .463 ... }
tan
ê
(
squareMatrix1
)
⇒
squareMatrix
Returns the matrix inverse tangent of squareMatrix1 .
This is
not the same as calculating the inverse
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:
tan
ê
([1,5,3;4,2,1;6,
ë
2,1])
¸






ë .083… 1.266… .622…
.748… .630… ë .070…
1.686…
ë
1.182… .455…
tanh()
MATH/Hyperbolic menu
tanh(
expression1
)
⇒
expression
tanh(
list1
)
⇒
list
tanh( expression1 )
returns the hyperbolic tangent of
the argument as an expression.
tanh(
list
)
returns a list of the hyperbolic tangents of
each element of
list1
.
tanh(1.2) ¸ .833 ...
tanh({0,1})
¸
{0 tanh(1)}