Appendix a: functions and instructions 909 – Texas Instruments TITANIUM TI-89 User Manual
Page 909

Appendix A: Functions and Instructions
909
G
(gradian)
MATH/Angle menu
expression1
G
¡¡¡¡ ⇒
⇒
⇒
⇒
expression
list1
G
¡¡¡¡ ⇒
⇒
⇒
⇒
list
matrix1
G
¡¡¡¡ ⇒
⇒
⇒
⇒
matrix
This function gives you a way to use a gradian
angle while in the Degree or Radian modes.
In Radian angle mode, multiplies
expression
by
p
/200. In Degree angle mode, multiplies
expression 1 by g/100.
In Gradian mode, returns expression1 unchanged.
In Degree, Gradian or Radian mode:
cos(50
G
) ¸
‡
2
2
cos({0,100
G
,200
G
}) ¸ {1,0.-1}
ô
(radian)
MATH/Angle menu
expression1
ô
⇒
⇒
⇒
⇒
expression
list1
ô
⇒
⇒
⇒
⇒
list
matrix1
ô
⇒
⇒
⇒
⇒
matrix
In Degree angle mode, multiplies
expression1
by
180/
p. In Radian angle mode, returns
expression1
unchanged. In Gradian mode, multiplies
expression1
by 200/
p.
This function gives you a way to use a radian
angle while in Degree and Gradian mode.
Hint: Use ô if you want to force radians in a
function or program definition regardless of the
mode that prevails when the function or program
is used.
In Degree, Gradian or Radian angle mode:
cos((p/4)ô )
¸
‡
2
2
cos({0ô,(p/12)ф,л pф })
¸
{
1
( 3+1)ш 2
4
л 1
}
¡¡¡¡
(degree)
2 “
key
expression1
⇒
⇒
⇒
⇒
expression
list1
¡¡¡¡ ⇒
⇒
⇒
⇒
list
matrix1
¡¡¡¡ ⇒
⇒
⇒
⇒
matrix
In Radian angle mode, multiplies
expression
by
p/180. In Degree angle mode, returns
expression
unchanged.In Gradian angle mode, multiplies
expression1
by 10/9.
This function gives you a way to use a degree
angle while in Gradian and Radian mode.
In Degree, Gradian or Radian angle mode:
cos(45¡)
¸
‡
2
2
cos({0,p/4,90¡,30.12¡})
¥
¸
{1
.707
...
0 .864
...
}
(angle)
2 ’
key
[
radius,
q_
angle
]
⇒
⇒
⇒
⇒
vector
(polar input)
[
radius,
q_
angle,Z_coordinate
]
⇒
⇒
⇒
⇒
vector
(cylindrical input)
[
radius,
q_
angle,
f_angle
]
⇒
⇒
⇒
⇒
vector
(spherical input)
Returns coordinates as a vector depending on the
Vector Format
mode setting: rectangular,
cylindrical, or spherical.
[5,60¡,45¡]
¸
In Radian mode and vector format set to:
rectangular
cylindrical
spherical