PlanetMath (more info)
 Math for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
sections
Encyclopædia
Papers
Books
Expositions

meta
Requests (211)
Orphanage
Unclass'd (1)
Unproven (472)
Corrections (36)
Classification

talkback
Polls
Forums
Feedback
Bug Reports

downloads
Snapshots
PM Book

information
News
Docs
Wiki
ChangeLog
TODO List
Legalese
About
Owner confidence rating: Medium Entry average rating: No information on entry rating
[parent] table of values for $\sin(x)$ (Example)
$n^\circ$ $\sin(n^\circ)$
0 0
1 0.01745240644
2 0.03489949670
3 0.05233595624
4 0.06975647374
5 0.08715574275
6 0.1045284633
7 0.1218693434
8 0.1391731010
9 0.1564344650
10 0.1736481777
11 0.1908089954
12 0.2079116908
13 0.2249510543
14 0.2419218956
15 0.2588190451
16 0.2756373558
17 0.2923717047
18 0.3090169944
19 0.3255681545
20 0.3420201433
21 0.3583679495
22 0.3746065934
23 0.3907311285
24 0.4067366431
25 0.4226182617
26 0.4383711468
27 0.4539904997
28 0.4694715628
29 0.4848096202
30 0.5000000000
31 0.5150380749
32 0.5299192642
33 0.5446390350
34 0.5591929035
35 0.5735764364
36 0.5877852523
37 0.6018150232
38 0.6156614753
39 0.6293203910
40 0.6427876097
41 0.6560590290
42 0.6691306064
43 0.6819983601
44 0.6946583705
45 0.7071067812
46 0.7193398003
47 0.7313537016
48 0.7431448255
49 0.7547095802
50 0.7660444431
51 0.7771459615
52 0.7880107536
53 0.7986355100
54 0.8090169944
55 0.8191520443
56 0.8290375726
57 0.8386705679
58 0.8480480962
59 0.8571673007
60 0.8660254038
61 0.8746197071
62 0.8829475929
63 0.8910065242
64 0.8987940463
65 0.9063077870
66 0.9135454576
67 0.9205048535
68 0.9271838546
69 0.9335804265
70 0.9396926208
71 0.9455185756
72 0.9510565163
73 0.9563047560
74 0.9612616959
75 0.9659258263
76 0.9702957263
77 0.9743700648
78 0.9781476007
79 0.9816271834
80 0.9848077530
81 0.9876883406
82 0.9902680687
83 0.9925461516
84 0.9945218954
85 0.9961946981
86 0.9975640503
87 0.9986295348
88 0.9993908270
89 0.9998476952
90 1.000000000


$n^\circ$ $\sin(n^\circ)$
0 0
0.05 0.000872665
0.1 0.00174533
0.15 0.00261799
0.2 0.00349065
0.25 0.00436331
0.3 0.00523596
0.35 0.00610861
0.4 0.00698126
0.45 0.0078539
0.5 0.00872654
0.55 0.00959916
0.6 0.0104718
0.65 0.0113444
0.7 0.012217
0.75 0.0130896
0.8 0.0139622
0.85 0.0148348
0.9 0.0157073
0.95 0.0165799
1. 0.0174524
1.05 0.0183249
1.1 0.0191974
1.15 0.0200699
1.2 0.0209424
1.25 0.0218149
1.3 0.0226873
1.35 0.0235598
1.4 0.0244322
1.45 0.0253046
1.5 0.0261769
1.55 0.0270493
1.6 0.0279216
1.65 0.028794
1.7 0.0296662
1.75 0.0305385
1.8 0.0314108
1.85 0.032283
1.9 0.0331552
1.95 0.0340274
2. 0.0348995



"table of values for $\sin(x)$" is owned by drini. [ owner history (1) ]
(view preamble)

View style:


This object's parent.
Log in to rate this entry.
(view current ratings)

This is version 1 of table of values for $\sin(x)$, born on 2005-02-22.
Object id is 6809, canonical name is TableOfValuesForSinx.
Accessed 4281 times total.

Classification:
AMS MSC: 33Bxx (Elementary classical functions)
 42-XX (Fourier analysis)
 51-XX (Geometry)
 43-XX (Abstract harmonic analysis)
Pending Errata and Addenda
None.
Discussion
Style: Expand: Order:
forum policy
Value of numerical tables by igor on 2005-02-23 12:44:31
I noticed this along with the similar cos and tan articles that contain only tables of values. Unfortunately, I must question the worth of such entries. Tables of values of mathematical functions used to be of great importance (they constitute a large part of the venerable Handbook of Mathematical Functions), but not anymore. Computer algorithms that evaluate these functions, often to desired accuracy, are of much greater importance now. See the discussion in

http://dlmf.nist.gov/about/publications/MKM-Lozier/node4.html

which is an article describing the Digital Library of Mathematical Functions (DLMF), which aims to be the Handbook's successor.

I think an entry describing some algorithms that allow computation of trigonometric functions to desired precision would be much more valuable.

At the very least, a table of numbers should be accompanied by discussion of precision, accuracy, and at least a reference to the method of computation that was used.
[ reply | up ]
Interact
post | correct | update request | add example | add (any)