Heddiw, mae'r golygydd wedi rhoi trefn ar ddulliau cyfrifo swyddogaethau i chi. Dylai hyn fod yn ddefnyddiol i chi sy'n ymwneud â'r diwydiant CNC. Os nad ydych chi'n ei wybod, dysgwch ef yn gyflym.
llun
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Perthynas swyddogaeth ongl
(Sine) Pechod θ=Ochr gyferbyn A / Hypotenuse C
(cosine) Cosθ=ochr gyfagos B / hypotenws C
(tangiad) Tanθ=ochr arall A / ochr gyfagos B
Ochr gyferbyn A=hypotenuse C * Sinθ
Ochr gyferbyn A=Ochr gyfagos B * Tanθ
Ochr gyfagos B=hypotenuse C * Cosθ
Ochr gyfagos B=ochr gyferbyn A/Tanθ
Hypotenuse C=Ochr gyferbyn A / Sinθ
hypotenuse C=ochr gyfagos B / Cosθ
Enghraifft: o gael yr hypotenws C=20, ongl θ=35 gradd, darganfyddwch yr ochr gyferbyn A a'r ochr gyfagos B
Ochr gyferbyn A {{0}} hypotenuse C * Sinθ=20 * Sin (35)=20 * 0.573576=11.471
Ochr gyfagos B {{0}} hypotenuse C * Cosθ=20 * Cos (35)=20 * 0.81915=16.383
Y berthynas rhwng tapr turn cyffredinol a ffwythiannau trigonometrig
Cymhareb tapr T= (diamedr mawr D-mân diamedr d) / (hyd L)
Tanθ= (diamedr mawr D-min diamedr d) / (2* hyd L )
D= d plws 2*L* Tanθ
d= D - 2*L* Tanθ
θ{ {0}} Tan - ( ( Dd ) / 2L )
Yma rydyn ni'n rhoi gwerthoedd tabl pechod, cos a lliw haul i chi ar wahanol onglau, ac mae'r cywirdeb hefyd yn uchel iawn. Rwy'n credu y bydd yn ddefnyddiol i chi.
pechod1=0.01745240643728351 pechod2=0.03489949670250097 pechod3=0.05233595624294383
pechod4=0.0697564737441253 pechod5=0.08715574274765816 pechod6=0.10452846326765346
pechod7=0.12186934340514747 pechod8=0.13917310096006544 pechod9=0.15643446504023087
pechod10=0.17364817766693033 pechod11=0.1908089953765448 pechod12=0.20791169081775931
pechod13=0.22495105434386497 pechod14=0.24192189559966773 pechod15=0.25881904510252074
pechod16=0.2756373581699916 pechod17=0.2923717047227367 pechod18=0.3090169943749474
pechod19=0.32556815444571567 pechod20=0.3420201433256687 pechod21=0.35836794954530027
pechod22=0.374606593415912 pechod23=0.3907311284892737 pechod24=0.4067364307580015
pechod25=0.42261826174069944 pechod26=0.4383711467890774 pechod27=0.45399049973954675
pechod28=0.4694715627858908 pechod29=0.48480962024633706 pechod30=0.499999999999999994
pechod31=0.5150380749100542 pechod32=0.5299192642332049 pechod33=0.544639035015027
pechod34=0.5591929034707468 pechod35=0.573576436351046 pechod36=0.5877852522924731
pechod37=0.6018150231520483 pechod38=0.6156614753256583 pechod39=0.6293203910498375
pechod40=0.6427876096865392 pechod41=0.6560590289905073 pechod42=0.6691306063588582
pechod43=0.6819983600624985 pechod44=0.6946583704589972 pechod45=0.7071067811865475
pechod46=0.7193398003386511 pechod47=0.7313537016191705 pechod48=0.7431448254773941
pechod49=0.7547095802227719 pechod50=0.766044443118978 pechod51=0.7771459614569708
pechod52=0.7880107536067219 pechod53=0.7986355100472928 pechod54=0.8090169943749474
pechod55=0.8191520442889918 pechod56=0.8290375725550417 pechod57=0.8386705679454239
pechod58=0.848048096156426 pechod59=0.8571673007021122 pechod60=0.8660254037844386
pechod61=0.8746197071393957 pechod62=0.8829475928589269 pechod63=0.8910065241883678
pechod64=0.898794046299167 pechod65=0.9063077870366499 pechod66=0.9135454576426009
pechod67=0.9205048534524404 pechod68=0.9271838545667873 pechod69=0.9335804264972017
pechod70=0.9396926207859083 pechod71=0.9455185755993167 pechod72=0.9510565162951535
pechod73=0.9563047559630354 pechod74=0.9612616959383189 pechod75=0.9659258262890683
pechod76=0.9702957262759965 pechod77=0.9743700647852352 pechod78=0.9781476007338057
pechod79=0.981627183447664 pechod80=0.984807753012208 pechod81=0.9876883405951378
pechod82=0.9902680687415704 pechod83=0.992546151641322 pechod84=0.9945218953682733
pechod85=0.9961946980917455 pechod86=0.9975640502598242 pechod87=0.9986295347545738
pechod88=0.9993908270190958 pechod89=0.9998476951563913
pechu90=1
cos1=0.999847695156391563913 cos2=0.9993908270190958 cos3=0.9986295347545738
cos4=0.9975640502598242 cos5=0.9961946980917455 cos6=0.9945218953682733
cos7=0.992546151641322 cos8=0.9902680687415704 cos9=0.9876883405951378
cos10=0.984807753012208 cos11=0.981627183447664 cos12=0.9781476007338057
cos13=0.9743700647852352 cos14=0.9702957262759965 cos15=0.9659258262890683
cos16=0.9612616959383189 cos17=0.9563047559630355 cos18=0.9510565162951535
cos19=0.9455185755993168 cos20=0.9396926207859084 cos21=0.9335804264972017
cos22=0.9271838545667874 cos23=0.9205048534524404 cos24=0.9135454576426009
cos25=0.9063077870366499 cos26=0.898794046299167 cos27=0.8910065241883679
cos28=0.882947592858927 cos29=0.8746197071393957 cos30=0.8660254037844387
cos31=0.8571673007021123 cos32=0.848048096156426 cos33=0.838670567945424
cos34=0.8290375725550417 cos35=0.8191520442889918 cos36=0.8090169943749474
cos37=0.798635100472928 cos38=0.7880107536067219 cos39=0.7771459614569709
cos40=0.766044443118978 cos41=0.754709580222772 cos42=0.7431448254773942
cos43=0.7313537016191705 cos44=0.7193398003386512 cos45=0.7071067811865476
cos46=0.6946583704589974 cos47=0.6819983600624985 cos48=0.6691306063588582
cos49=0.65605902899905074 cos50=0.6427876096865394 cos51=0.6293203910498375
cos52=0.6156614753256583 cos53=0.6018150231520484 cos54=0.5877852522924731
cos55=0.5735764363510462 cos56=0.5591929034707468 cos57=0.5446390350150272
cos58=0.5299192642332049 cos59=0.5150380749100544 cos60=0.500000000000001
cos61=0.4848096202463371 cos62=0.46947156278589086 cos63=0.4539904997395468
cos64=0.43837114678907746 cos65=0.42261826174069944 cos66=0.4067366430758004
cos67=0.3907311284892737 cos68=0.3746065934159122 cos69=0.35836794954530015
cos70=0.3420201433256688 cos71=0.32556815445715675 cos72=0.30901699437494745
cos73=0.29237170472273677 cos74=0.27563735581699916 cos75=0.25881904510252074
cos76=0.24192189559966767 cos77=0.22495105434386514 cos78=0.20791169081775923
cos79=0.19080899537654491 cos80=0.17364817766693041 cos81=0.15643446504023092
cos82=0.13917310096006546 cos83=0.12186934340514749 cos84=0.10452846326765346
cos85=0.08715574274765836 cos86=0.06975647374412523
cos{0}}.052335956242943966
cos88=0.03489949670250108 cos89=0.0174524064372836
cos90=0
tan1=0.017455064928217585 tan2=0.03492076949174773 tan3=0.052407779283041196
tan4=0.06992681194351041 tan5=0.08748866352592401 tan6=0.10510423526567646
tan7=0.1227845609029046 tan8=0.14054083470239145 tan9=0.15838444032453627
tan10=0.17632698070846497 tan11=0.19438030913771848 tan12=0.2125565616700221
tan13=0.2308681911255631 tan14=0.24932800284318068 tan15=0.2679491924311227
tan16=0.2867453857588079 tan17=0.30573068145866033 tan18=0.3249196962329063
tan19=0.34432761328966527 tan20=0.36397023426620234 tan21=0.3838640350354158
tan22=0.4040262258351568 tan23=0.4244748162096047 tan24=0.4452286853085361
tan25=0.4663076581549986 tan26=0.4877325885658614 tan27=0.5095254494944288
tan28=0.5317094316614788 tan29=0.554309051452769 tan30=0.5773502691896257
tan31=0.6008606190275604 tan32=0.6248693519093275 tan33=0.6494075931975104
tan34=0.6745085168424265 tan35=0.7002075382097097 tan36=0.7265425280053609
tan37=0.7535540501027942 tan38=0.7812856265067174 tan39=0.8097840331950072
tan40=0.8390996311772799 tan41=0.8692867378162267 tan42=0.9004040442978399
tan43=0.9325150861376618 tan44=0.9656887748070739 tan45=0.99999999999999999
tan46=1.0355303137905693 tan47=1.0723687100246826 tan48=1.1106125148291927
tan49=1.1503684072210092 tan50=1.19175359259421 tan51=1.234897156535051
tan52=1.2799416321930785 tan53=1.3270448216204098 tan54=1.3763819204711733
tan55=1.4281480067421144 tan56=1.4825609685127403 tan57=1.5398649638145827
tan58=1.6003345290410506 tan59=1.6642794823505173 tan60=1.7320508075688767
tan61=1.8040477552714235 tan62=1.8807264653463318 tan63=1.96261050555051503
tan64=2.050303841579296 tan65=2.1445069205095586 tan66=2.246036773904215
tan67=2.355852365823753 tan68=2.4750868534162946 tan69=2.6050890646938023
tan70=2.7474774194546216 tan71=2.904210877675822 tan72=3.0776835371752526
tan73=3.2708526184841404 tan74=3.4874144438409087 tan75=3.7320508075688776
tan76=4.0107809335358455 tan77=4.331475874284153 tan78=4.704630109478456
tan79=5.144554015970307 tan80=5.671281819617707 tan81=6.313751514675041
tan82=7.115369722384207 tan83=8.144346427974593 tan84=9.514364454222587
tan85=11.43005230276132 tan86=14.300666256711942 tan87=19.08113668772816
tan88=28.636253282915515 tan89=57.289961630759144
tan{0}}(diderfyn)
