HP 9100B Operating & Programming Manual page 54

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4
THE KEYBOARD
FUNCTION KEYS
ANS
This switch selects the units, degrees or radians, to be used and
displayed in calculations involving the trigonometric functions:
angles must be entered in the units selected.
The trigonometric functions of angles from
oo
up to
360°
(
or
greater) can be calculated; however, the inverse trigonometric
functions are calculated only for the principle values of the
functions:
9 ==sin-
1
x;
-90°
<
9 :$
+
90°;
(- TT/2
:$ 9 :$
+
TT/2)
9 ==cos-
1
x;
oo
<
9
< +180°; (
0 ::S
9
<
+
1T )
9 ==tan-
1
x;
-90°
<
9 :::;
+90°;
(-1T
/2 <
9
<
+
Tf/2)
As
an example:
cos 150
==
cos
210° ==
cos 510°
==
(etc.)
==
-
.866
But arc cos
-
.866
==
150°
To convert
DEGREES (RADIANS) to RADIANS (DEGREES)
1.
SWITCH: DEGREES (RADIANS)
2.
I
I
ENTER: DEGREES (RADIANS)
3.
PRESS: (one of) sin x, cos x, tan x
·
4.
SWITCH: RADIANS (DEGREES)
5.
PRESS: arc, (as in step 3) sin x, cos x, tan x;
the result
in
RADIANS (DEGREES) appears in the X register,
however, the principle value of the function must be taken into
account if this method is used.
lf
the following method is used the principle value of the func-
tion need not be considered:
To convert DEGREES (RADIANS) to RADIANS (DEGR EES):
7T
multiply degrees by 180° to convert to rad1an s;
multiply radians by
180°
to convert
t
o degrees.
1T
Replaces the contents of the X register with the Sine
of the contents of X (see also ARC and HYPER keys)
.
Replaces the contents of the X register with the Cosine
of the contents of X (see also ARC and HYPER keys).
Replaces the contents of the X register with the Tangent
of the contents of X (see also the ARC and HYPER
keys).

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