Easter Sunday Trigs ( rpn38-CX)

[Gerson W. Barbosa]

.
Trigonometric Functions (RPN-38 CX)

Code:


01 - 3            3
02 - 71           ÷
03 - 21 8         STO 8
04 - 22 61 8      RCL × 8
05 - 31           ENTER
06 - 31           ENTER
07 - 31           ENTER
08 - 86 61 9      RCL × .9
09 - 86 41 8      RCL − .8
10 - 61           ×
11 - 86 51 7      RCL + .7
12 - 61           ×
13 - 86 41 6      RCL − .6
14 - 61           ×
15 - 86 51 0      RCL + .0
16 - 22 61 8      RCL × 8
17 - 21 8         STO 8
18 - 21 51 8      STO + 8
19 - 3            3
20 - 22 8         RCL 8
21 - 22 61 8      RCL × 8
22 - 41           −
23 - 61           ×
24 - 21 8         STO 8
25 - 1            1
26 - 22 8         RCL 8
27 - 22 61 8      RCL × 8
28 - 41           −
29 - 24 21        √x
30 - 25 7 00      GTO 00
31 - 86 71 0      RCL ÷ .0
32 - 25 7 00      GTO 00
33 - 86 61 0      RCL × .0
34 - 25 7 00      GTO 00
35 - 25 6         x=0
36 - 25 7 00      GTO 00
37 - 31           ENTER
38 - 61           ×
39 - 24 71        1/x
40 - 1            1
41 - 41           −
42 - 25 6         x=0
43 - 22 73 9      RCL .9
44 - 24 71        1/x
45 - 25 7 53      GTO 53
46 - 25 6         x=0
47 - 25 7 43      GTO 43
48 - 31           ENTER
49 - 61           ×
50 - 24 71        1/x
51 - 1            1
52 - 41           −
53 - 24 21        √x
54 - 25 6         x=0
55 - 25 7 00      GTO 00
56 - 1            1
57 - 33           x≷y
58 - 25 5         x≤y
59 - 25 7 62      GTO 62
60 - 24 71        1/x
61 - 9            9
62 - 0            0
63 - 21 9         STO 9
64 - 25 33        R↓
65 - 24 71        1/x
66 - 21 8         STO 8
67 - 22 61 8      RCL × 8
68 - 51           +
69 - 24 21        √x
70 - 22 41 8      RCL − 8
71 - 21 8         STO 8
72 - 21 51 8      STO + 8
73 - 31           ENTER
74 - 61           ×
75 - 31           ENTER
76 - 31           ENTER
77 - 31           ENTER
78 - 86 61 5      RCL × .5
79 - 86 41 4      RCL − .4
80 - 61           ×
81 - 86 51 3      RCL + .3
82 - 61           ×
83 - 86 41 2      RCL − .2
84 - 61           ×
85 - 86 51 1      RCL + .1
86 - 61           ×
87 - 3            3
88 - 24 71        1/x
89 - 41           −
90 - 61           ×
91 - 1            1
92 - 51           +
93 - 22 61 8      RCL × 8
94 - 86 71 0      RCL ÷ .0
95 - 22 9         RCL 9
96 - 25 6         x=0
97 - 33           x≷y
98 - 33           x≷y
99 - 41           −

------------------------------------

Trigonometric Functions

by Gerson W. Barbosa - Apr/2016

R.0: 1.74532925199433e-2
R.1: 0.199999779
R.2: 0.142841665
R.3: 1.107161127e-01
R.4: 0.086263068
R.5: 0.05051923
R.6: 8.860961556954e-07
R.7: 1.3496016023e-11
R.8: 9.78826891e-17
R.9: 4.12066e-22


Angles in DEGREES

-90 =< x <= 90

R/S      --> cos(x)
R/S x<>y --> sin(x)
R/S /    --> tan(x)

GTO 35 R/S --> asin(x)      0 =< x <= 1
GTO 46 R/S --> acos(x)      0 =< x <= 1
GTO 54 R/S --> atan(x)   1e-50 < x < 1e42, x=0

GTO 31 R/S --> Rad->Deg
GTO 33 R/S --> Deg->Rad

------------------------------------------

Constants:

R.0: 1.74532925199433e-2
R.1: 0.199999779
R.2: 0.142841665
R.3: 1.107161127e-01
R.4: 0.086263068
R.5: 0.05051923
R.6: 8.860961556954e-07
R.7: 1.3496016023e-11
R.8: 9.78826891e-17
R.9: 4.12066e-22


------------------------------------------

Trigonometric Functions:

Angles in DEGREES

-90 =< x <= 90

R/S --> cos(x)
R/S x<>y --> sin(x)
R/S / --> tan(x)

GTO 35 R/S --> asin(x) 0 =< x <= 1
GTO 46 R/S --> acos(x) 0 =< x <= 1
GTO 54 R/S --> atan(x) 1e-50 < x < 1e42, x=0

GTO 31 R/S --> Rad->Deg
GTO 33 R/S --> Deg->Rad

------------------------------------------
Examples:

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 35 R/S --> 89.18960856 ; asin(0.9999)
0.9999 GTO 46 R/S --> 0.8102914371 ; acos(0.9999)
0.9999 GTO 54 R/S --> 44.99713507 ; atan(0.9999)

180 RCL × .0 --> 3.141592654 ; π
180 GTO 33 R/S --> 3.141592654 ; 180° = π rad
3.141592654 ENTER 8 / GTO 31 R/S --> 22.50000000 ; π/8 rad = 22.5°

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) = 0.8660254038
cos(60) = 0.5000000000
tan(60) = 1.732050808

sin(75) = 0.9659258263
cos(75) = 0.2588190451
tan(75) = 3.732050808

sin(89) = 0.9998476952
cos(89) = 1.745240644E-2
tan(89) = 57.28996163

sin(89.99) = 0.9999999848
cos(89.99) = 1.74532924(0)E-4
tan(89.99) = 5729.577(902)

sin(89.9999) = 1.000000000
cos(89.9999) = 1.7452(81608)E-6
tan(89.9999) = 5729(73.3462)

asin(0) = 0.000000000
acos(0) = 90.00000000
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 54 R/S GTO 46 R/S GTO 35 R/S --> 9.000000282

------------------------------------------

The extension of the attached file should be changed to .rpn38

Edited to fix a typo.