Easter Sunday Trigs ( rpn38-CX)

[Gerson W. Barbosa]

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Trigonometric Functions (RPN-38 CX)

Code:


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

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: 3.2818376136867e-08
R.7: 5.553916059e-14
R.8: 4.4756602e-20
R.9: 2.0935e-26


Angles in DEGREES

-90 =< x <= 90

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


GTO 32 R/S --> asin(x)      0 =< x <= 1
GTO 43 R/S --> acos(x)      0 =< x <= 1
GTO 51 R/S --> atan(x)   1e-50 < x < 1e42


Gerson W. Barbosa - Mar/2016

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Constants:

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: 3.2818376136867e-08
R.7: 5.553916059e-14
R.8: 4.4756602e-20
R.9: 2.0935e-26

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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 32 R/S => arcsin(x) (0 =< x <= 1)
GTO 43 R/S => arccos(x) (0 =< x <= 1)
GTO 51 R/S => arctan(x) (1e-50 < x < 1e42)

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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 32 R/S --> 89.18960856 ; asin(0.9999)
0.9999 GTO 43 R/S --> 0.8102914371 ; acos(0.9999)
0.9999 GTO 51 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) = 0.5000000000
cos(60) = 0.8660254038
tan(60) = 1.732050808

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

sin(89) = 0.9998476952
cos(89) = 1.745240644E-4
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) = 1.7453(45219)E-6
tan(89.9999) = 57295(2.5534)

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

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Forensic result:

9 R/S x<>y R/S R/S / GTO 51 R/S GTO 43 R/S GTO 32 R/S --> 9.000000275

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