Texas Instruments TI-89 Titanium User Manual page 852

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coeffMatrix
simult(
Solves multiple systems of linear equations, where
each system has the same equation coefficients but
different constants.
Each column in
constants for a system of equations. Each column in
the resulting matrix contains the solution for the
corresponding system.
sin()
@
2 W key
) ⇒
expression1
sin(
) ⇒
list1
list
sin(
sin(
expression1
an expression.
returns a list of the sines of all elements in
list1
sin(
)
.
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.
) ⇒
squareMatrix1
sin(
Returns the matrix sine of
the same as calculating the sine of each element.
For information about the calculation method, refer
to
.
cos()
squareMatrix1
always contains floating-point numbers.
sinê ()
@
¥ Q key
) ⇒
expression1
sinê (
) ⇒
list1
list
sinê (
expression1
sinê (
expression1
list1
sinê (
)
element of
Note: The result is returned as either a degree or
radian angle, according to the current angle mode
setting.
squareMatrix1
sinê(
Returns the matrix inverse sine of
This is not the same as calculating the inverse sine
of each element. For information about the
calculation method, refer to
squareMatrix1
always contains floating-point numbers.
Appendix A: Functions and Instructions
) ⇒
constMatrix [
tol ]
matrix
,
,
must contain the
constMatrix
H
expression
returns the sine of the argument as
)
squareMatrix
squareMatrix1
must be diagonalizable. The result
H
expression
returns the angle whose sine is
)
as an expression.
returns a list of the inverse sines of each
.
list1
) ⇒
squareMatrix
squareMatrix1
.
cos()
must be diagonalizable. The result
Solve:
x + 2y = 1
3x + 4y = ë 1
simult([1,2;3,4],[1,2;ë 1,ë 3])
¸
For the first system, x=ë 3 and y=2. For the
second system, x=ë 7 and y=9/2.
W key
In Degree angle mode:
sin((p/4)ô ) ¸
sin(45) ¸
sin({0,60,90}) ¸
In Radian angle mode:
sin(p/4) ¸
sin(45¡) ¸
In Radian angle mode:
. This is not
sin([1,5,3;4,2,1;6,ë 2,1]) ¸
2 Q key
In Degree angle mode:
sinê (1) ¸
In Radian angle mode:
sinê ({0,.2,.5}) ¸
In Radian angle mode and Rectangular complex
format mode:
.
sinê([1,5,3;4,2,1;6,ë 2,1])
¸
ë.164...ì.064...øi
.725...ì 1.515...øi
2.083...ì 2.632...øi ë 1.790...+1.271...øi ...
x + 2y = 2
3x + 4y = ë 3
ë 3
[
2
‡3
{
0
2
ë.045... ë.031...
.942...
ë.045... .949...
ë.020...
ë.048... ë.005... .961...
{0
.201
...
.523
1.490...ì 2.105...øi
.947...ì.778...øi
ë 7
]
9/2
‡2
2
‡2
2
}
1
‡2
2
‡2
2
90
...
}
...
...
849

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