Texas Instruments TITANIUM TI-89 - Manual (Page 877)

Appendix A: Functions and Instructions 877
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,л2,1]) ¸





 .942… л.045… л.031…
л
.045… .949… л.020…
л .048… л.005… .961…
sin ê ()
¥ 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 a degree, gradian
or radian angle, according to the current angle
mode setting.
In Degree angle mode:
sinê (1) ¸ 90
In Gradian angle mode:
sinê (1) ¸ 100
In Radian angle mode:
sinê ({0,.2,.5}) ¸
{0 .201... .523...}
sin ê( squareMatrix1 )
⇒ ⇒ ⇒ ⇒ squareMatrix
Returns the matrix inverse sine of squareMatrix1 .
This is not the same as calculating the inverse
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 and Rectangular complex
format mode:
sinê([1,5,3;4,2,1;6,л2,1]) ¸





 л .164…м.064…ш i 1.490…м 2.105…ш i …
.725…м 1.515…ш i .947…м.778…ш i …
2.083…м 2.632…ш i л 1.790…+1.271…ш i …
sinh()
MATH/Hyperbolic menu
sinh( expression1 ) ⇒ ⇒ ⇒ ⇒ expression
sinh( list1 )
⇒ ⇒ ⇒ ⇒ list
sinh ( expression1 ) returns the hyperbolic sine of
the argument as an expression.
sinh ( list ) returns a list of the hyperbolic sines of
each element of list1 .
sinh(1.2) ¸ 1.509 ...
sinh({0,1.2,3.}) ¸
{0 1.509
...
10.017
...
}
sinh( squareMatrix1 ) ⇒ ⇒ ⇒ ⇒ squareMatrix
Returns the matrix hyperbolic sine of
squareMatrix1 . This is not the same as calculating
the hyperbolic 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:
sinh([1,5,3;4,2,1;6,ë2,1]) ¸





 360.954 305.708 239.604
352.912 233.495 193.564
298.632 154.599 140.251
sinh ê ()
MATH/Hyperbolic menu
sinh ê ( expression1 )
⇒ ⇒ ⇒ ⇒ expression
sinh ê ( list1 )
⇒ ⇒ ⇒ ⇒ list
sinh ê ( expression1 ) returns the inverse hyperbolic
sine of the argument as an expression.
sinh ê ( list1 ) returns a list of the inverse
hyperbolic sines of each element of list1 .
sinhê (0) ¸ 0
sinhê ({0,2.1,3}) ¸
{0 1.487 ... sinhê (3)}