Texas Instruments TI-30XIIB Owners Manual - Page 33

an arc

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Example: (sin (.3012 w))--"'" 1- = 1 0626654 Select radian mode (') Enter Pros* Display Comments .3012 OVA ED 0 ' 0 3012 '3.1415927 '.94624771 (.3012 a) '.81122714 Sin (.3012w) r1 16.2 IDOGI F.F77.1 r=1 '.81122714 .29052686 1.0626654 Tan 16.2" Answer The largest angle resulting from an arc function is 180 degrees Or radians or 200 grads). Because certain angles have identical function values within one revolution. i e., arcsin - .5 for 30' arid 150', the angle returned by each function is restricted as follows: Arc Function arcs.n x (sin x) Quadrant of Resultant Angle First (0 to 9O', w/2. or 100 G) arCssn - a -x) Fourth (0 to - 90', -w/2, or -100G) arccos x (cos'' x) First (0 to 9O".:x/2, or 100 G) arccos - x (cos'' - a) Second (9O' to 18O', r../2 to w, or arctan x (tan ' x) artist) - x (tan-. -x) 100 to 200 G) First (0 to 9O', ir/2, or 100 G) Fourth (0 to -90", -w/2. or -100 G) 31

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Example:
(sin
(.3012
w))
--
"'"
1-
=
1
0626654
Select
radian
mode
(')
Enter
Pros*
Display
Comments
OVA
ED
0
.3012
'
0
3012
'3.1415927
'.94624771
(.3012
a)
'.81122714
Sin
(.3012w)
r1
'.81122714
16.2
IDOGI
.29052686
Tan
16.2"
F.F77.1
r=1
1.0626654
Answer
The
largest
angle
resulting
from
an arc
function
is
180
degrees
Or
radians
or
200
grads).
Because
certain
angles
have
identical
function
values
within
one
revolution.
i
e.,
arcsin
-
.5
for
30'
arid
150',
the
angle
returned
by
each
function
is
restricted
as
follows:
Arc
Function
arcs.n
x
(sin
x)
arCssn
-
a
-x)
arccos
x
(cos''
x)
arccos
-
x
(cos''
-
a)
arctan
x
(tan
'
x)
artist)
-
x
(tan
-.
-x)
Quadrant
of
Resultant
Angle
First
(0
to
9O',
w/2.
or
100
G)
Fourth
(0
to
-
90',
-w/2,
or
-100G)
First
(0
to
9O".:x/2,
or
100
G)
Second
(9O'
to
18O',
r../2
to
w,
or
100
to
200
G)
First
(0
to
9O',
ir/2,
or
100
G)
Fourth
(0
to
-90",
-w/2.
or
-100
G)
31