User Manual

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 11820ATOZ.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
L
1
.5
b
.523598775598
sin
L
1
{0,.5}
b
{0 .523598775598}
In
Degree
angle mode:
sin
L
1
1
b
90