平时开磨床，做加工总是要算这个。今天小编给大家整理了关于函数的计算方法，这应该对从事数控行业的你有所帮助，不会的赶紧学学吧。
角函数的关系
(正弦) Sin θ = 对边A / 斜边C
(余弦) Cosθ = 邻边B / 斜边C
(正切) Tanθ = 对边A / 邻边B
对边A = 斜边C * Sinθ
对边A = 邻边B * Tanθ
邻边B = 斜边C * Cosθ
邻边B = 对边A / Tanθ
斜边C = 对边A / Sinθ
斜边C = 邻边B / Cosθ
例题：已知斜边C=20，角度θ=35度 求对边A及邻边B
正切函数tan怎么算，对边A =斜边C * Sinθ= 20 * Sin (35) = 20 * 0.573576 = 11.471
邻边B =斜边C * Cosθ= 20 * Cos (35) = 20 * 0.81915 = 16.383
一般车床锥度与三角函数的关系
锥度比T=(大径D-小径d) / (长度L)
Tanθ= (大径D-小径d) / (2*长度L )
D= d + 2*L* Tanθ
d= D - 2*L* Tanθ
θ= Tan - ( (D-d) / 2L )
这里为你提供了sin，cos，tan不同角度的表值，精确度也很高了，相信对你有用
sin1=0.28351 sin2=0.50097 sin3=0.94383
sin4=0.1253 sin5=0.65816 sin6=0.15346
sin7=0.12186934340514747 sin8=0.006544 sin9=0.15643446504023087
sin10=0.693033 sin11=0.65448 sin12=0.25931
sin13=0.224951 sin14=0.24192189559966773 sin15=0.258819
sin16=0.27563735581699916 sin17=0.2923717047227367 sin18=0.3474
sin19=0.3255681544571567 sin20=0.3427 sin21=0.35836794954530027
sin22=0.3746 sin23=0.3937 sin24=0.40015
sin25=0.42261826174069944 sin26=0.4383711467890774 sin27=0.45399
sin28=0.4694715627858908 sin29=0.48486 sin30=0.49999999999999994
sin31=0.5152 sin32=0.5299192642332049 sin33=0.544639035015027
sin34=0.5591929034707468 sin35=0.573576436351046 sin36=0.5877852522924731
sin37=0.6483 sin38=0.6156614753256583 sin39=0.62932
sin40=0.6427876096865392 sin41=0.6563 sin42=0.66913
sin43=0.6819983600624985 sin44=0.6946583704589972 sin45=0.7475
sin49=0.7547 sin50=0.766 sin51=0.7771459614569708
sin52=0.7889 sin53=0.7986355100472928 sin54=0.8474
sin55=0.819152 sin56=0.8297 sin57=0.83867
sin58=0.848 sin59=0.8571673007021122 sin60=0.8666
sin61=0.8746197071393957 sin62=0.8829475928589269 sin63=0.8918
sin64=0.898794046299167 sin65=0.9499 sin66=0.9135454576426009
sin67=0.9204 sin68=0.9271838545667873 sin69=0.93358
sin70=0.9396926207859083 sin71=0.9455185755993167 sin72=0.9515
sin73=0.9563 sin74=0.9612616959383189 sin75=0.9659258262890683
sin76=0.9765 sin77=0.97437 sin78=0.9781476007338057
sin79=0.981627183447664 sin80=0.9848 sin81=0.9876883405951378
sin82=0.9904 sin83=0.992546151641322 sin84=0.9945218953682733
sin85=0.9961946980917455 sin86=0.997564 sin87=0.9986295347545738
sin88=0.99939 sin89=0.9998476951563913
sin90=1
cos1=0.9998476951563913 cos2=0.99939 cos3=0.9986295347545738
cos4=0.997564 cos5=0.9961946980917455 cos6=0.9945218953682733
cos7=0.992546151641322 cos8=0.9904 cos9=0.9876883405951378
cos10=0.9848 cos11=0.981627183447664 cos12=0.9781476007338057
cos13=0.97437 cos14=0.9765 cos15=0.9659258262890683
cos16=0.9612616959383189 cos17=0.9563 cos18=0.9515
cos19=0.9455185755993168 cos20=0.9396926207859084 cos21=0.93358
cos22=0.9271838545667874 cos23=0.9204 cos24=0.9135454576426009
cos25=0.9499 cos26=0.898794046299167 cos27=0.8919
cos28=0.882947592858927 cos29=0.8746197071393957 cos30=0.8667
cos31=0.8571673007021123 cos32=0.848 cos33=0.83867
cos34=0.8297 cos35=0.819152 cos36=0.8474
cos37=0.7986355100472928 cos38=0.7889 cos39=0.7771459614569709
cos40=0.766 cos41=0.7547 cos42=0.7431448254773942
cos43=0.7313537016191705 cos44=0.7193398003386512 cos45=0.7476
cos46=0.6946583704589974 cos47=0.6819983600624985 cos48=0.66913
cos49=0.6564 cos50=0.6427876096865394 cos51=0.62932
tan的计算：例如直角三角形之底为x，高为y，斜边为z，底与斜边之间的夹角为a，按定义：tan a = y / x（直角三角形高除以直角三角形底边）sina = y / z （直角三角形高除以直角三角形斜边）cos a= x / z （。
cos52=0.6156614753256583 cos53=0.6484 cos54=0.5877852522924731
cos55=0.5735764363510462 cos56=0.5591929034707468 cos57=0.544639
cos58=0.5299192642332049 cos59=0.5154 cos60=0.5001
cos61=0.4848 cos62=0.46947156278589086 cos63=0.45399
cos64=0.43837114678907746 cos65=0.42261826174069944 cos66=0.4004
cos67=0.3937 cos68=0.3746 cos69=0.35836794954530015
cos70=0.3428 cos71=0.32556815445715675 cos72=0.34745
cos73=0.2923717 cos74=0.27563735581699916 cos75=0.258819
cos76=0.24192189559966767 cos77=0.224951 cos78=0.25923
cos79=0.654491 cos80=0.693041 cos81=0.15643446504023092
cos82=0.006546 cos83=0.12186934340514749 cos84=0.15346
cos85=0.65836 cos86=0.12523 cos87=0.943966
cos88=0.50108 cos89=0.2836
cos90=0
tan1=0.217585 tan2=0.74773 tan3=0.041196
tan计算公式是tana=y/x，直角三角形之底为x，高为y，斜边为z，底与斜边之间的夹角为a。tan一般指正切，在Rt△ABC（直角三角形）中，∠C=90°，AB是∠C的对边c，BC是∠A的对边a，AC是∠B的对边b，正切函数就是。
tan4=0.51041 tan5=0.92401 tan6=0.17646
tan7=0.1227845609029046 tan8=0.239145 tan9=0.15838444032453627
tan10=0.846497 tan11=0.771848 tan12=0.2125565616700221
tan13=0.2331 tan14=0.249328 tan15=0.2679491924311227
tan16=0.2867453857588079 tan17=0.36033 tan18=0.3249196962329063
tana=sina/cosa tanα＝1/cotα 诱导公式：tan（2kπ＋α）＝tanα tan(π／2-α）＝cotα tan（π／2+α）＝－cotα tan（π＋α）＝tanα tan（π－α）＝－tanα 。
tan19=0.34432761328966527 tan20=0.36397 tan21=0.383864
tan22=0.4568 tan23=0.4244748162096047 tan24=0.4452286853085361
tan25=0.4663 tan26=0.4877325885658614 tan27=0.5288
tan28=0.5317 tan29=0.5543 tan30=0.57735
tan34=0.6745 tan35=0.7097 tan36=0.7265425280053609
tan37=0.753554 tan38=0.7812856265067174 tan39=0.8072
tan40=0.8399 tan41=0.8692867378162267 tan42=0.9399
tan43=0.932515 tan44=0.9656887748070739 tan45=0.9999999999999999
tan46=1.5693 tan47=1.6826 tan48=1.1127
tan49=1.1592 tan50=1.421 tan51=1.234897156535051
tan52=1.2799416321930785 tan53=1.3278 tan54=1.3763819204711733
tan55=1.428148 tan56=1.48256 tan57=1.5398649638145827
tan58=1.6506 tan59=1.6642794823505173 tan60=1.7327
tan61=1.8235 tan62=1.8818 tan63=1.96261
tan（α＋β）＝(tanα+tanβ)／(1-tanαtanβ)；tan（α－β）＝(tanα－tanβ)／(1＋tanα·tanβ)4、tan的万能公式：tanα=2tan(α/2)/[1-tan^2(α/2)]同角三角函数的关系公式：1、平方关系：sin^2(。
tan64=2.296 tan65=2.95586 tan66=2.246
tan67=2.355852365823753 tan68=2.4756 tan69=2.6023
tan70=2.7474774194546216 tan71=2.922 tan72=3.2526
tan73=3.2704 tan74=3.4874144438409087 tan75=3.7326
tan76=4.8455 tan77=4.331475874284153 tan78=4.756
tan79=5.0307 tan80=5.671281819617707 tan81=6.313751514675041
tan82=7.115369722384207 tan83=8.4593 tan84=9.514364454222587
tan85=11.43 tan86=14.342 tan87=19.16
tan88=28.636253282915515 tan89=57.289961630759144
tan90=(无限)
文章底部可以评论，欢迎对文章进行点评和知识补充
数控中国论坛编辑微信/QQ：6347587
