Texas Instruments TI-30XIIB Owners Manual - Page 34

air.D

Page 34 highlights

Arcsin .5. for example. always returns 30° as the angle even though sin 150" = 5. sin 390" - .5. etc. as well. Example. sin"' .712 = 45.397875 degrees Select degree mode .79234239 radians Enter .712 Press 511.1 Display 45.397875 Select radian mode (') Enter .712 Press (tier] Display '.79234239 Example • arctari472 I -a-T6trli .808 = 9.1905773 degrees Select degree mode Enter 9.72 .808 Press Looril rta711 Len CI] air.D Lj Display 84.126039 9 1720248 53 900984 .01855254 9.1905773 Comments arctan 9.72 \ arctan 9.72 arcsin 808 1/arcsin 808 Answer Sine and cosine functions are accurate throughout all displayed digits when displayed in standard form. The tangent of '90`ortt00gradsresultsin an error condition because the function is undefined at these points. As the tangent approaches these undefined limits the accuracy is restricted. For example, the tangent of 89 degrees (1.5533 radians or 98 888889 grads) is accurate throughout the 8 displayed digits whereas tan 89 99999' is accurate to 3 places. 32

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Arcsin
.5.
for
example.
always
returns
30°
as
the
angle
even
though
sin
150"
=
5.
sin
390"
.5.
etc.
as
well.
Example
.
sin"'
.712
=
45.397875
degrees
.79234239
radians
Select
degree
mode
Enter
Press
Display
.712
51
1.1
45.397875
Select
radian
mode
(')
Enter
Press
Display
.712
(tier]
'.79234239
Example
arctari
472
I
-
a
-
T6tri
l
.808
=
9.1905773
degrees
Enter
Select
degree
mode
Press
Display
Comments
9.72
Looril
rt
a
7
11
84.126039
arctan
9.72
Len
CI]
9
1720248
\
arctan
9.72
.808
air.D
Lj
53
900984
.01855254
arcsin
808
1/arcsin
808
9.1905773
Answer
Sine
and
cosine
functions
are
accurate
throughout
all
displayed
digits
when
displayed
in
standard
form.
The
tangent
of
'90`ortt00gradsresultsin
an
error
condition
because
the
function
is
undefined
at
these
points.
As
the
tangent
approaches
these
undefined
limits
the
accuracy
is
restricted.
For
example,
the
tangent
of
89
degrees
(1.5533
radians
or
98
888889
grads)
is
accurate
throughout
the
8
displayed
digits
whereas
tan
89
99999'
is
accurate
to
3
places.
32