Sin(), Sin ê () – Texas Instruments PLUS TI-89 User Manual

Page 518

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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;л 1,л 3])
¸

[

л 3 л 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:

2 W

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,л 2,1]) ¸

.942… л.045… л.031…

л.045… .949… л.020…

л.048… л.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:

sinê (1) ¸

90

In Radian angle mode:

sinê ({0,.2,.5}) ¸

{0 .201... .523...}

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