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Chapter 20: A to Z Function and Instruction Reference     
355
20ATOZ.DOC   TI-86, Chap 20, US English   Bob Fedorisko   Revised: 02/13/01 2:42 PM   Printed: 02/13/01 3:05 PM   Page 355 of 118
20ATOZ.DOC   TI-86, Chap 20, US English   Bob Fedorisko   Revised: 02/13/01 2:42 PM   Printed: 02/13/01 3:05 PM   Page 355 of 118
sin
=
sin 
angle
   or   
sin (
expression
)
Returns the sine of angle or expression, which can be
real or complex.
An angle is interpreted as degrees or radians according
to the current angle mode. In any angle mode, you can
designate an angle as degrees or radians by using the 
¡
or 
r
 designator, respectively, from the 
MATH ANGLE
menu.
In 
Radian
 angle mode:
sin 
p/2 b
0
sin (
p/2) b
1
sin 45
¡ b
.707106781187
In 
Degree
 angle mode:
sin 45 b
.707106781187
sin (
p/2)
r
 b
1
The squareMatrix cannot
have repeated
eigenvalues.
sin 
list
Returns a list in which each element is the sine of the
corresponding element in list.
sin 
squareMatrix
Returns a square matrix that is the matrix sine of
squareMatrix
. The matrix sine corresponds to the result
calculated using power series or Cayley-Hamilton
Theorem techniques. This is not the same as simply
calculating the sine of each element.
In 
Radian
 angle mode:
sin {0,
p/2,p} b
{0 1 0}
In 
Degree
 angle mode:
sin {0,30,90} b
{0 .5 1}
sin
L
1
-
 
{
sin
L
1
 
number
   or   
sin
L
1
 (
expression
)
Returns the arcsine of number or expression, which can
be real or complex.
sin
L
1
 
list
Returns a list in which each element is the arcsine of the
corresponding element in list.
In 
Radian
 angle mode:
sin
L1
 .5 b
.523598775598
sin
L1
 {0,.5} b
{0 .523598775598}
In 
Degree
 angle mode:
sin
L1
 1 b
90