03-27-2016, 10:51 PM
.
Note: A more accurate updated version is available (Post #23).
Trigonometric Functions (RPN-38 CX)
------------------------------------------
Constants:
5.817764173E-03 ENTER
3.144E-13 + STO .0
0.199999779 STO .1
0.142841665 STO .2
1.107161127E-01 STO .3
0.086263068 STO .4
0.05051923 STO .5
3.281837579E-08 STO .6
5.5538386E-14 STO .7
-4.4502E-20 STO .9
------------------------------------------
Trigononometric Functions:
Enter angles in degrees, -90 =< x <= 90
R/S => cos(x)
x<>y => sin(x)
x<>y / => tan(x)
Inverse Trigonometric Functions:
GTO 35 R/S => arcsin(x)
GTO 44 R/S => arccos(x)
GTO 50 R/S => arctan(x)
------------------------------------------
0.0001 R/S --> 1.000000000 ; cos(0.0001)
x<>y --> 1.745329252E-06 ; sin(0.0001)
/ --> 1.745329252E-06 ; tan(0.0001)
0.9999 GTO 31 R/S --> 89.18960856 ; asin(0.9999)
0.9999 GTO 42 R/S --> 0.8102914371 ; acos(0.9999)
0.9999 GTO 48 R/S --> 44.99713507 ; atan(0.9999)
Other examples:
sin(0.01) = 1.745329243E-04
cos(0.01) = 0.9999999848
tan(0.01) = 1.745329270E-04
sin(30) = 0.5000000000
cos(30) = 0.8660254038
tan(30) = 0.5773502692
sin(60) = 0.500000000(1)
cos(60) = 0.866025403(7)
tan(60) = 1.73205080(7)
sin(89.99) = 0.9999999848
cos(89.99) = 1.7453(38006)E-4
tan(89.99) = 5729.5(49127)
sin(89.9999) = 1.000000000
cos(89.9999) = 1.74(6171960)E-6
tan(89.9999) = 572(681.2838)
asin(0) = 0.000000000
acos(0) = Error 0
atan(0) = 0.000000000
asin(1) = 90.00000000
acos(1) = 0.000000000
atan(1) = 45.00000000
asin(1E10) = 90.00000000
atan(0.4142135624) = 22.50000000
acos(0.8660254038) = 30.00000000
atan(50) = 88.85423716
------------------------------------------
Forensic result:
9 R/S x<>y R/S R/S / GTO 48 R/S GTO 42 R/S GTO 31 R/S --> 9.000000275
------------------------------------------
Edited to fix a couple of typos (two constants inside the code box).
Note: A more accurate updated version is available (Post #23).
Trigonometric Functions (RPN-38 CX)
Code:
01 - 21 73 9 STO .9
02 - 31 ENTER
03 - 61 ×
04 - 31 ENTER
05 - 31 ENTER
06 - 31 ENTER
07 - 86 61 8 RCL × .8
08 - 86 51 7 RCL + .7
09 - 61 ×
10 - 86 41 6 RCL − .6
11 - 61 ×
12 - 86 51 0 RCL + .0
13 - 86 61 9 RCL × .9
14 - 31 ENTER
15 - 31 ENTER
16 - 61 ×
17 - 4 4
18 - 61 ×
19 - 32 CHS
20 - 3 3
21 - 51 +
22 - 61 ×
23 - 31 ENTER
24 - 31 ENTER
25 - 61 ×
26 - 32 CHS
27 - 1 1
28 - 51 +
29 - 24 21 √x
30 - 25 7 00 GTO 00
31 - 25 6 x=0
32 - 25 7 00 GTO 00
33 - 31 ENTER
34 - 61 ×
35 - 24 71 1/x
36 - 1 1
37 - 41 −
38 - 25 6 x=0
39 - 25 7 98 GTO 98
40 - 24 71 1/x
41 - 25 7 47 GTO 47
42 - 31 ENTER
43 - 61 ×
44 - 24 71 1/x
45 - 1 1
46 - 41 −
47 - 24 21 √x
48 - 25 6 x=0
49 - 25 7 00 GTO 00
50 - 1 1
51 - 33 x≷y
52 - 25 5 x≤y
53 - 25 7 56 GTO 56
54 - 24 71 1/x
55 - 9 9
56 - 0 0
57 - 21 9 STO 9
58 - 25 33 R↓
59 - 24 71 1/x
60 - 21 73 9 STO .9
61 - 31 ENTER
62 - 61 ×
63 - 51 +
64 - 24 21 √x
65 - 86 41 9 RCL − .9
66 - 21 73 9 STO .9
67 - 31 ENTER
68 - 61 ×
69 - 31 ENTER
70 - 31 ENTER
71 - 31 ENTER
72 - 86 61 5 RCL × .5
73 - 86 41 4 RCL − .4
74 - 61 ×
75 - 86 51 3 RCL + .3
76 - 61 ×
77 - 86 41 2 RCL − .2
78 - 61 ×
79 - 86 51 1 RCL + .1
80 - 61 ×
81 - 3 3
82 - 24 71 1/x
83 - 41 −
84 - 61 ×
85 - 1 1
86 - 51 +
87 - 86 61 9 RCL × .9
88 - 8 8
89 - 25 12 12÷
90 - 61 ×
91 - 86 71 0 RCL ÷ .0
92 - 22 9 RCL 9
93 - 25 6 x=0
94 - 33 x≷y
95 - 33 x≷y
96 - 41 −
97 - 25 7 00 GTO 00
98 - 9 9
99 - 0 0
------------------------------------
R.0: 5.8177641733144E-03
R.1: 0.199999779
R.2: 0.142841665
R.3: 1.107161127E-01
R.4: 0.086263068
R.5: 0.05051923
R.6: 3.281837579E-08
R.7: 5.5538386E-14
R.8: -4.4502E-20
Angles in DEGREES
-90 =< x <= 90
R/S --> cos(x)
x<>y --> sin(x)
x<>y / --> tan(x)
GTO 31 R/S --> asin(x)
GTO 42 R/S --> acos(x)
GTO 48 R/S --> atan(x)
------------------------------------------
Constants:
5.817764173E-03 ENTER
3.144E-13 + STO .0
0.199999779 STO .1
0.142841665 STO .2
1.107161127E-01 STO .3
0.086263068 STO .4
0.05051923 STO .5
3.281837579E-08 STO .6
5.5538386E-14 STO .7
-4.4502E-20 STO .9
------------------------------------------
Trigononometric Functions:
Enter angles in degrees, -90 =< x <= 90
R/S => cos(x)
x<>y => sin(x)
x<>y / => tan(x)
Inverse Trigonometric Functions:
GTO 35 R/S => arcsin(x)
GTO 44 R/S => arccos(x)
GTO 50 R/S => arctan(x)
------------------------------------------
0.0001 R/S --> 1.000000000 ; cos(0.0001)
x<>y --> 1.745329252E-06 ; sin(0.0001)
/ --> 1.745329252E-06 ; tan(0.0001)
0.9999 GTO 31 R/S --> 89.18960856 ; asin(0.9999)
0.9999 GTO 42 R/S --> 0.8102914371 ; acos(0.9999)
0.9999 GTO 48 R/S --> 44.99713507 ; atan(0.9999)
Other examples:
sin(0.01) = 1.745329243E-04
cos(0.01) = 0.9999999848
tan(0.01) = 1.745329270E-04
sin(30) = 0.5000000000
cos(30) = 0.8660254038
tan(30) = 0.5773502692
sin(60) = 0.500000000(1)
cos(60) = 0.866025403(7)
tan(60) = 1.73205080(7)
sin(89.99) = 0.9999999848
cos(89.99) = 1.7453(38006)E-4
tan(89.99) = 5729.5(49127)
sin(89.9999) = 1.000000000
cos(89.9999) = 1.74(6171960)E-6
tan(89.9999) = 572(681.2838)
asin(0) = 0.000000000
acos(0) = Error 0
atan(0) = 0.000000000
asin(1) = 90.00000000
acos(1) = 0.000000000
atan(1) = 45.00000000
asin(1E10) = 90.00000000
atan(0.4142135624) = 22.50000000
acos(0.8660254038) = 30.00000000
atan(50) = 88.85423716
------------------------------------------
Forensic result:
9 R/S x<>y R/S R/S / GTO 48 R/S GTO 42 R/S GTO 31 R/S --> 9.000000275
------------------------------------------
Edited to fix a couple of typos (two constants inside the code box).