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Appendix A: Functions and Instructions 501
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 501 of 132
simult(coeffMatrix, constMatrix
[
, tol
]
)
⇒
matrix
Solves multiple systems of linear equations,
where each system has the same equation
coefficients but different constants.
Each column in
constMatrix
must contain the
constants for a system of equations. Each
column in the resulting matrix contains the
solution for the corresponding system.
Solve: x + 2y = 1 x + 2y = 2
3x + 4y =
ë
1 3x + 4y =
ë
3
simult([1,2;3,4],[1,2;
ë
1,
ë
3])
¸
[
ë
3
ë
7
2 9/2
]
For the first system, x=
ë
3 and y=2. For
the second system, x=
ë
7 and y=9/2.
sin()
TI
-
89:
2W
key TI
-
92 Plus
:
W
key
sin(expression1)
⇒
expression
sin(list1)
⇒
list
sin(expression1)
returns the sine of the
argument as an expression.
sin(list1)
returns a list of the sines 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 setting temporarily.
In Degree angle mode:
sin((p/4)
ô
)
¸
‡2
2
sin(45)
¸
‡2
2
sin({0,60,90})
¸
{
0
‡3
2
1
}
In Radian angle mode:
sin(p/4)
¸
‡2
2
sin(45¡)
¸
‡2
2
sin(squareMatrix1)
⇒
squareMatrix
Returns the matrix sine of
squareMatrix1
. This
is
not
the same as calculating the sine 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:
sin([1,5,3;4,2,1;6,
ë
2,1])
¸
.942…
ë
.045…
ë
.031…
ë
.045… .949…
ë
.020…
ë
.048…
ë
.005… .961…
sin
ê
()
TI
-
89:
¥
Q
key TI
-
92 Plus:
2
Q
key
sin
ê
(expression1)
⇒
expression
sin
ê
(list1)
⇒
list
sin
ê
(expression1)
returns the angle whose
sine is
expression1
as an expression.
sin
ê
(list1)
returns a list of the inverse sines 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:
sin
ê
(1)
¸
90
In Radian angle mode:
sin
ê
({0,.2,.5})
¸
{0 .201
...
.523
...
}