sine function,
Results from 7th degree polynomial, 
 range 0-23 degrees, 1 minute intervals
 average error about 10-10 percent, about 12 digit accuracy

0, 0, -(1.0112257866802907976508313939764368438889972408265365*10^-12) 0, 1, 0.000290888203580472452492386312129258632395585036150958000562143 0, 2, 0.000581776383557860005336645125015310055648478175570608014438381 0, 3, 0.000872664514307164324079221092194118526702322138576123794676789 0, 4, 0.00116355257121461696131603672181007328666004454130428135595801 0, 5, 0.00145444052966645565315577763413003890669905074802352375014823 0, 6, 0.00174532836504892640236112765372172502382005133710714732699098 0, 7, 0.00203621605274828556148749075326631127868729110290926778956182 0, 8, 0.0023271035681508019160190276636260946617943833596742215949368 0, 9, 0.0026179908866427587675018349647879264741899533136100582505252 0, 10, 0.0029088779836104560166740944723032061089972942692567790565175 0, 11, 0.003199764834440212246593020733845198859962240436279977844899 0, 12, 0.003490651414518366805758434450504444963263460102820539265481 0, 13, 0.003781537699231281891232789637443027078819372941531050169396 0, 14, 0.00407242366396534463175748233852846341732589521442957964052 0, 15, 0.00436330928410696917086526870956799371925921664270148322524 0, 16, 0.00465419453504259874998862028476402529207781270757988691108 0, 17, 0.00494507939215870779156384424101150631185789614843550640457 0, 18, 0.0052359638308418039821307964746579935955965114242064572588 0, 19, 0.0055268478264784303554280153053471820504164759042987114013 0, 20, 0.0058177313544551673754831036215666630059073715550878556123 0, 21, 0.006108614390158635019698187282520678635836790888152807504 0, 22, 0.006399496908975494861930277590948639675466040936372144553 0, 23, 0.006690378886292452155566365651510173640704509024013701729 0, 24, 0.00698126029749625791659307642935747075533689409694809329 0, 25, 0.00727214111797371100666071032351569479255750737911681425 0, 26, 0.00756302132311166021614150006969222603704584612138557715 0, 27, 0.0078539008882970063471819107871355035738176442089135396 0, 28, 0.0081447797889167042967488109841642341100856033931690781 0, 29, 0.0084356580003577651396693423369877345363640089147227640 0, 30, 0.0087265354980072582116643160564381754330514332829481966 0, 31, 0.009017412257252313192374963657235492728725731978761350 0, 32, 0.009308288253480122188382869944405734716385534846529086 0, 33, 0.009599163462077941816222916031473611633872436941277495 0, 34, 0.00989003785843309528538906020505001501470809259733072 0, 35, 0.01018091141793297448133278445043527401558041648451089 0, 36, 0.01047178411596504204845403445285891592671309541802989 0, 37, 0.01076265592791683347308448088897669807135261468820354 0, 38, 0.01105352682917595916646292982324567830060700267611889 0, 39, 0.01134439679513010654770271002379809128987049752138526 0, 40, 0.01163526580116704212675086501243479784306833960809972 0, 41, 0.01192613382267461358733897766335907441095589363515762 0, 42, 0.01221700083504075186992545516527151002970630403703881 0, 43, 0.01250786681365347325462910216144677788602088752120034 0, 44, 0.01279873173390088144415380988241304871499646648820608 0, 45, 0.01308959557117116964670418908585481323698384710072408 0, 46, 0.01338045830085262265889197461835988083967164576752232 0, 47, 0.01367131989833361894863302941363132171162966780859338 0, 48, 0.01396218033900263273803477574178511963354604206753882 0, 49, 0.01425303959824823608627388152435430263339231523734384 0, 50, 0.01454389765145910097246402952962031871175070966567299 0, 51, 0.01483475447402400137851359726289242384353774840581736 0, 52, 0.01512561004133181537197307536635584946235845127942418 0, 53, 0.01541646432877152718887205234310951663372530571713930 0, 54, 0.01570731731173222931654559342001406412337621614329328 0, 55, 0.01599816896560312457644984136397095756692563567076166 0, 56, 0.01628901926577352820696666706625344694708308387213025 0, 57, 0.01657986818763286994619719770951013958467325439329588 0, 58, 0.01687071570657069611474405033206195584969191617563340 0, 59, 0.01716156179797667169848209860411323479863181205285955 1, 0, 0.01745240643724058243131760063049775694431275848872433 1, 1, 0.01774324959975233687793551559458045136445015022166059 1, 2, 0.01803409126090196851653483705793555435519607358252242 1, 3, 0.01832493139607963782155177073042198683588723225154304 1, 4, 0.01861576998067563434637058452527671771123388922064287 1, 5, 0.01890660699008037880602195871384688039718402872721830 1, 6, 0.01919744239968442515986866399458140971669694192554208 1, 7, 0.01948827618487846269427839529090296637166044006190565 1, 8, 0.01977910832105331810528358909258091619718589891963439 1, 9, 0.02006993878359995758122805215522613140451533830010615 1, 10, 0.02036076754790948888540022937252838101877474030590400 1, 11, 0.02065159458937316343865293863585707771780781019223360 1, 12, 0.02094241988338237840200940049584614827832438355273604 1, 13, 0.02123324340532867875925539044058379483559768360582667 1, 14, 0.02152406513060375939951734160502791416294463234769068 1, 15, 0.02181488503459946719982622572626794217722341933806599 1, 16, 0.02210570309270780310766704015925389087658253188494420 1, 17, 0.02239651928032092422351372876761334491669545039432016 1, 18, 0.02268733357283114588334936450417718503171521265112091 1, 19, 0.02297814594563094374117142149583480550618305079744455 1, 20, 0.02326895637411295585148196444733959290412530477423983 1, 21, 0.02355976483366998475176258317868543326157281599255688 1, 22, 0.02385057129969499954493390011067501494873700500050009 1, 23, 0.02414137574758113798179947851330069440807683691201339 1, 24, 0.02443217815272170854347395933155869197449087836362891 1, 25, 0.02472297849051019252379525440331738498386864976530956 1, 26, 0.02501377673634024611172062388386046537623547661151606 1, 27, 0.02530457286560570247370646569172572899972504361862934 1, 28, 0.02559536685370057383607164479046026382161385545485874 1, 29, 0.02588615867601905356734419012091280425265180782876672 1, 30, 0.02617694830795551826059118699868401879092307270254084 1, 31, 0.02646773572490452981573169279135549819147150139614353 1, 32, 0.02675852090226083752183250369011821136792474934847037 1, 33, 0.02704930381541938013938660039042119623235132630164753 1, 34, 0.02734008443977528798257410049626125267958477567459904 1, 35, 0.02763086275072388500150554546273440492224918689201451 1, 36, 0.02792163872366069086444734989146990038272024443484796 1, 37, 0.02821241233398142304002924099356751234825601737847847 1, 38, 0.02850318355708199887943351603465891359553169318466322 1, 39, 0.02879395236835853769856594557671388819081245951341367 1, 40, 0.02908471874320736286020815033121214867199873782092543 1, 41, 0.02937548265702500385615127943830152581877797250969257 1, 42, 0.02966624408520819838931081798656329821711717939693697 1, 43, 0.02995700300315389445582235158800542882433045726748343 1, 44, 0.03024775938625925242711811582290447574095566627721102 1, 45, 0.03053851320992164713198415836911694439567447697321164 1, 46, 0.03082926444953866993859794163048084834950999369678610 1, 47, 0.03112001308050813083654621367892824592553615613540861 1, 48, 0.03141075907822806051882297532492951987033312278979025 1, 49, 0.03170150241809671246380737113089016725342284012217206 1, 50, 0.03199224307551256501722133218212086681091900115197851 1, 51, 0.03228298102587432347406679843000159093962559726496179 1, 52, 0.03257371624458092216054234842196052954781826700196787 1, 53, 0.03286444870703152651593906423288859296894264559345468 1, 54, 0.03315517838862553517451545941261026114446391900589334 1, 55, 0.03344590526476258204735129776403154628210178626618291 1, 56, 0.03373662931084253840418013076658583619568503383020932 1, 57, 0.03402735050226551495520038145959838553285992576167933 1, 58, 0.03431806881443186393286480260019022209688661348735989 1, 59, 0.03460878422274218117364813691034223546875776889485381 2, 0, 0.03489949670259730819979280722774021513587364453904221 2, 1, 0.03519020622939833430103246437502160533350776472332456 2, 2, 0.03548091277854659861629322056204474380529745122178677 2, 3, 0.03577161632544369221537239613580135168899338740842827 2, 4, 0.03606231684549146018059460749259304173370242455957840 2, 5, 0.03635301431409200368844502396709261205485783409563305 2, 6, 0.03664370870664768209117962151291089263315120952824205 2, 7, 0.03693439999856111499841226098928991176366022187907798 2, 8, 0.03722508816523518435867841886854314966140643233631717 2, 9, 0.03751577318207303654097539817886364642957736591496330 2, 10, 0.03780645502447808441627884749712073159664704988714463 2, 11, 0.03809713366785400943903541580626614242862922074851505 2, 12, 0.03838780908760476372863137103197029822269740348689008 2, 13, 0.03867848125913457215083701007310949778840606691924810 2, 14, 0.03896915015784793439922668814072480732274705886322767 2, 15, 0.03925981575914962707657429522007340588527552490925155 2, 16, 0.03955047803844470577622400747039315567953951455940804 2, 17, 0.03984113697113850716343614137700116434704747849922031 2, 18, 0.04013179253263665105670793847034710648000786076843444 2, 19, 0.04042244469834504250906910842664207155907498959695675 2, 20, 0.04071309344366987388935195836468370552233547067207105 2, 21, 0.04100373874401762696343593615349841317176928660306656 2, 22, 0.04129438057479507497546641554542138862341980634940714 2, 23, 0.04158501891140928472904755094923524100750690837857237 2, 24, 0.04187565372926761866840902965798798262471742131970129 2, 25, 0.04216628500377773695954654934611114676490708587916935 2, 26, 0.04245691271034759957133584865045880239444824178422931 2, 27, 0.04274753682438546835662011864988823291845744352084659 2, 28, 0.04303815732129990913327062305800304622413720863185996 2, 29, 0.04332877417649979376522035494367948321146610234159805 2, 30, 0.04361938736539430224347055779399669201747136227308230 2, 31, 0.04390999686339292476706993873419173514031826702394726 2, 32, 0.04420060264590546382406640171926009666945045236720854 2, 33, 0.04449120468834203627243112851182245682801537884300940 2, 34, 0.04478180296611307542095483526087850103380915450747640 2, 35, 0.04507239745462933311011603249606853068497491660481487 2, 36, 0.04536298812930188179292111635206364287668897592877484 2, 37, 0.04565357496554211661571611883770524625506892763961812 2, 38, 0.04594415793876175749896994496451468021453793230271705 2, 39, 0.04623473702437285121802892454919370464487937091491579 2, 40, 0.04652531219778777348384250650473662743421607768478461 2, 41, 0.04681588343441923102365992343477483693414835433289793 2, 42, 0.04710645070968026366169765434577450659328496967826681 2, 43, 0.04739701399898424639977751329170823896540134827705635 2, 44, 0.04768757327774489149793519176582141629845915187971896 2, 45, 0.04797812852137625055499908265411402491072145747267384 2, 46, 0.04826867970529271658913921356515872056019773567066357 2, 47, 0.04855922680490902611838611735087590201365283322591834 2, 48, 0.04884976979564026124111946763288656002141416342025845 2, 49, 0.04914030865290185171652630714906366890421130810626590 2, 50, 0.04943084335210957704502869673490288795828223516365549 2, 51, 0.04972137386867956854868061275433333988498033513697631 2, 52, 0.05001190017802831145153392079458923345111648082077411 2, 53, 0.05030242225557264695997325343976309758627031355834532 2, 54, 0.05059294007672977434301961993766139412330496002021329 2, 55, 0.05088345361691725301260257557458327638831938322845745 2, 56, 0.05117396285155300460380077857264326084627257159302606 2, 57, 0.05146446775605531505505076232425857900851376972616315 2, 58, 0.05175496830584283668832375077842197680845295480108038 2, 59, 0.05204546447633459028927034479338072865160576222100437 3, 0, 0.05233595624294996718733290727034263334624706436473030 3, 1, 0.05262644358110873133582547488282975912090740617481231 3, 2, 0.05291692646623102139198102421630070493494650135452137 3, 3, 0.05320740487373735279696592013266214528843799293970140 3, 4, 0.05349787877904861985586137417429042573759968201165411 3, 5, 0.05378834815758609781761174082218397632200342831718334 3, 6, 0.05407881298477144495493947942286731010979892656192955 3, 7, 0.05436927323602670464422660959866737406718556214312505 3, 8, 0.05465972888677430744536248795598301945836655008790068 3, 9, 0.05495017991243707318155773390616835898221956096327459 3, 10, 0.05524062628843821301912413241365077785191803752395377 3, 11, 0.05553106799020133154722034148590436602373740586407891 3, 12, 0.05582150499315042885756323221989953878128038483904343 3, 13, 0.05611193727270990262410468921964961288135559752351717 3, 14, 0.05640236480430455018267369919947510546774368847180538 3, 15, 0.05669278756335957061058355558760652295908515054667386 3, 16, 0.05698320552530056680620400694474640711712406508277070 3, 17, 0.05727361866555354756849817701221140550154195915077535 3, 18, 0.05756402695954492967652408420427513351761598368840572 3, 19, 0.05785443038270153996890058835933259526293561626441388 3, 20, 0.05814482891045061742323759256450693037941209224170114 3, 21, 0.05843522251821981523553032786831925411681476810568297 3, 22, 0.05872561118143720289951754869604235781406862072403464 3, 23, 0.05901599487553126828600346678235903700454708630394804 3, 24, 0.05930637357593091972214325143594581435159444281303053 3, 25, 0.05959674725806548807069192395060282462051193962997623 3, 26, 0.05988711589736472880921647397755062889324187819114069 3, 27, 0.06017747946925882410927102567351472523198384739914932 3, 28, 0.06046783794917838491553488143921852299797731755967045 3, 29, 0.06075819131255445302491327106290554803168479661248359 3, 30, 0.06104853953481850316560063408351164590060975242297347 3, 31, 0.06133888259140244507610626318810795042098350490018068 3, 32, 0.06162922045773862558424213645823538465955529170753944 3, 33, 0.06191955310925983068607276627975146162171971133243318 3, 34, 0.06220988052139928762482689273081015183221574728069863 3, 35, 0.06250020266959066696977084926259558501463157716220900 3, 36, 0.06279051952926808469504342848743035307594937043366703 3, 37, 0.06308083107586610425845207588887918160236427856473837 3, 38, 0.06337113728481973868023023926846873707261182139365617 3, 39, 0.06366143813156445262175570174364433699503787343842737 3, 40, 0.06395173359153616446422972611158433017464545392977138 3, 41, 0.06424202364017124838731683839349291431635252433192193 3, 42, 0.06453230825290653644774507837399215817069499711742250 3, 43, 0.06482258740517932065786654495023399542820915956204625 3, 44, 0.06511286107242735506417806410535295756872771632597090 3, 45, 0.06540312923008885782580180732088041287182365458733939 3, 46, 0.06569339185360251329292568824274107879463613549433676 3, 47, 0.06598364891840747408520336541545257492331261570191418 3, 48, 0.06627390039994336317011367889914878370430140275929047 3, 49, 0.06656414627365027594127934858404778616172884811436212 3, 50, 0.06685438651496878229674476201698513980709538150115209 3, 51, 0.06714462109933992871721267955463326594752459047642838 3, 52, 0.06743485000220524034423968465802771359879954887162280 3, 53, 0.06772507319900672305839020714302106720942059792618067 3, 54, 0.06801529066518686555734894720128526540191878386847219 3, 55, 0.06830550237618864143399152800648309793765915571039596 3, 56, 0.06859570830745551125441320472022964811136812702180541 3, 57, 0.06888590843443142463591545771246444778161910545088892 3, 58, 0.06917610273256082232495029781085511224351059375663392 3, 59, 0.06946629117728863827502211139385322214977096611950608 4, 0, 0.06975647374406030172454687314202321968652412349647390 4, 1, 0.07004665040832173927466855426226508620995023178650949 4, 2, 0.07033682114551937696703255399955156855007574657269623 4, 3, 0.07062698593110014236151598225080072118792692820707387 4, 4, 0.07091714474051146661391462109550453151228105100435181 4, 5, 0.07120729754920128655358639305773439536224951031062116 4, 6, 0.07149744433261804676105116391414421006192703121319627 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