Calculator User Manual
Appendix A: Functions and Instructions   511
8992APPA.DOC TI-89 / TI-92 Plus: Appendix A (US English) Susan Gullord Revised: 02/23/01 1:48 PM Printed: 02/23/01 2:21 PM Page 511 of 132
tan
ê
()
TI
-
89:
¥
S
 key TI
-
92 Plus: 
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)}
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
}










