Texas Instruments TI-89 Titanium Short User Manual page 247

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
sin(
expression1
sin(
as an expression.
list1
sin(
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.
squareMatrix1
sin(
Returns the matrix sine of
not
the same as calculating the sine of each
element. For information about the calculation
method, refer to
squareMatrix1
always contains floating-point numbers.
sinê ()
@
¥ Q key
expression1
sinê (
) ⇒
list1
sinê (
expression1
sinê (
expression1
list1
sinê (
each 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
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
[ ]
, ,
must contain the
constMatrix
) ⇒
expression
list
returns the sine of the argument
)
returns a list of the sines of all elements
)
.
) ⇒
squareMatrix
squareMatrix1
.
cos()
must be diagonalizable. The result
) ⇒
expression
list
returns the angle whose sine is
)
as an expression.
returns a list of the inverse sines of
)
list1 .
) ⇒
squareMatrix
not
the same as calculating the inverse
cos()
must be diagonalizable. The result
Solve:
matrix
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.
H
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
sin([1,5,3;4,2,1;6,ë 2,1]) ¸
H
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:
.
squareMatrix1
sinê([1,5,3;4,2,1;6,ë 2,1])
¸
.



x + 2y = 1
3x + 4y = ë 1

ë.045... ë.031...
.942...

ë.045... .949...

ë.048... ë.005... .961...
{0
ë.164...ì.064...øi
1.490...ì 2.105...øi
.725...ì 1.515...øi .947...ì.778...øi
2.083...ì 2.632...øi ë 1.790...+1.271...øi ...
x + 2y = 2
3x + 4y = ë 3
ë 3 ë 7
[ ]
2 9/2
‡2
2
‡2
2
‡3
{ }
0 1
2
‡2
2
‡2
2


ë.020...

90
... ...
.201 .523 }

...

...

241