三角函数计算方法及快速查询表，做模具真是太有用了

青华模具小雨

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

1 S) Z. T6 |, W6 L; v! d) i

(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

$ a5 T# ]* X2 S' h* r9 j4 U

% y  A% ^% J- `) V7 m1 Z8 _. E/ V7 d

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

1 b( V7 y# ^9 X0 `

　　　对边A =斜边C * Sinθ= 20 * Sin (35) = 20 * 0.573576 = 11.471

1 @) q( m2 o/ M/ n7 E

　　　邻边B =斜边C * Cosθ= 20 * Cos (35) = 20 * 0.81915 = 16.383

" R% Q6 D& _" Z  |9 |

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=0.01745240643728351 sin2=0.03489949670250097 sin3=0.05233595624294383

sin4=0.0697564737441253 sin5=0.08715574274765816 sin6=0.10452846326765346

7 ?9 K) l$ f& b" G1 t3 ?* R1 k

sin7=0.12186934340514747 sin8=0.13917310096006544 sin9=0.15643446504023087

sin10=0.17364817766693033 sin11=0.1908089953765448 sin12=0.20791169081775931

sin13=0.22495105434386497 sin14=0.24192189559966773 sin15=0.25881904510252074

sin16=0.27563735581699916 sin17=0.2923717047227367 sin18=0.3090169943749474

sin19=0.3255681544571567 sin20=0.3420201433256687 sin21=0.35836794954530027

0 E/ t; ~4 m  e# k9 ~

sin22=0.374606593415912 sin23=0.3907311284892737 sin24=0.40673664307580015

sin25=0.42261826174069944 sin26=0.4383711467890774 sin27=0.45399049973954675

& V- [! n- O5 s" K- N" s) l

sin28=0.4694715627858908 sin29=0.48480962024633706 sin30=0.49999999999999994

sin31=0.5150380749100542 sin32=0.5299192642332049 sin33=0.544639035015027

sin34=0.5591929034707468 sin35=0.573576436351046 sin36=0.5877852522924731

/ O* N; ]* u) w; ]3 m% ?

sin37=0.6018150231520483 sin38=0.6156614753256583 sin39=0.6293203910498375

sin40=0.6427876096865392 sin41=0.6560590289905073 sin42=0.6691306063588582

. s( P5 @! a/ D8 M( v5 P

sin43=0.6819983600624985 sin44=0.6946583704589972 sin45=0.7071067811865475

9 c8 s) `$ S: t. R1 A& i: I, C+ A! A

sin46=0.7193398003386511 sin47=0.7313537016191705 sin48=0.7431448254773941

sin49=0.7547095802227719 sin50=0.766044443118978 sin51=0.7771459614569708

sin52=0.7880107536067219 sin53=0.7986355100472928 sin54=0.8090169943749474

4 J+ T  r0 _1 h3 Z! f

sin55=0.8191520442889918 sin56=0.8290375725550417 sin57=0.8386705679454239

: J& c& A5 M+ s9 X0 A, w+ {' O6 N

sin58=0.848048096156426 sin59=0.8571673007021122 sin60=0.8660254037844386

" C7 n% U" n7 h  Z, Q: H: }

sin61=0.8746197071393957 sin62=0.8829475928589269 sin63=0.8910065241883678

sin64=0.898794046299167 sin65=0.9063077870366499 sin66=0.9135454576426009

sin67=0.9205048534524404 sin68=0.9271838545667873 sin69=0.9335804264972017

  B3 O3 [: o# [0 M+ ]2 t

sin70=0.9396926207859083 sin71=0.9455185755993167 sin72=0.9510565162951535

( B# d2 o4 P9 E) P2 y: ~4 P- F

sin73=0.9563047559630354 sin74=0.9612616959383189 sin75=0.9659258262890683

sin76=0.9702957262759965 sin77=0.9743700647852352 sin78=0.9781476007338057

3 P# |3 q" M, r- u

sin79=0.981627183447664 sin80=0.984807753012208 sin81=0.9876883405951378

sin82=0.9902680687415704 sin83=0.992546151641322 sin84=0.9945218953682733

sin85=0.9961946980917455 sin86=0.9975640502598242 sin87=0.9986295347545738

sin88=0.9993908270190958 sin89=0.9998476951563913

5 f- W- |* p: I8 w# j

sin90=1

* h$ g/ x+ k# m+ ]7 V

) b+ R: ^/ ^9 b, i) G* e) F

cos1=0.9998476951563913 cos2=0.9993908270190958 cos3=0.9986295347545738

cos4=0.9975640502598242 cos5=0.9961946980917455 cos6=0.9945218953682733

cos7=0.992546151641322 cos8=0.9902680687415704 cos9=0.9876883405951378

% [3 V% i" s/ T/ h; j  M

cos10=0.984807753012208 cos11=0.981627183447664 cos12=0.9781476007338057

2 t5 s. S1 c2 H" @0 w) E. X

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

& C: `! Y  M- @& X7 Y0 `# Z$ b

cos22=0.9271838545667874 cos23=0.9205048534524404 cos24=0.9135454576426009

' ~( E6 w- a! B8 {0 r; @# _

cos25=0.9063077870366499 cos26=0.898794046299167 cos27=0.8910065241883679

cos28=0.882947592858927 cos29=0.8746197071393957 cos30=0.8660254037844387

# j  H* V$ `2 M$ ?

cos31=0.8571673007021123 cos32=0.848048096156426 cos33=0.838670567945424

" e3 N% y6 C' d) A3 k6 u

cos34=0.8290375725550417 cos35=0.8191520442889918 cos36=0.8090169943749474

cos37=0.7986355100472928 cos38=0.7880107536067219 cos39=0.7771459614569709

cos40=0.766044443118978 cos41=0.754709580222772 cos42=0.7431448254773942

- N/ o8 Q6 f! V( [( c

cos43=0.7313537016191705 cos44=0.7193398003386512 cos45=0.7071067811865476

cos46=0.6946583704589974 cos47=0.6819983600624985 cos48=0.6691306063588582

5 ~' F6 _! D: t- Z2 ~

cos49=0.6560590289905074 cos50=0.6427876096865394 cos51=0.6293203910498375

cos52=0.6156614753256583 cos53=0.6018150231520484 cos54=0.5877852522924731

( R) p- {( Q' l8 K/ S) Z) E3 x; _

cos55=0.5735764363510462 cos56=0.5591929034707468 cos57=0.5446390350150272

cos58=0.5299192642332049 cos59=0.5150380749100544 cos60=0.5000000000000001

8 q; e4 F' @2 a2 Q

cos61=0.4848096202463371 cos62=0.46947156278589086 cos63=0.4539904997395468

: P  s' R7 a* `0 ]; f1 J- N

cos64=0.43837114678907746 cos65=0.42261826174069944 cos66=0.4067366430758004

2 l5 B% o: P4 d. V: \) `# D

cos67=0.3907311284892737 cos68=0.3746065934159122 cos69=0.35836794954530015

% \. T2 |5 u+ l7 r5 F& Z: N

cos70=0.3420201433256688 cos71=0.32556815445715675 cos72=0.30901699437494745

" @3 l- W8 m( C

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

% }8 _; e, {& U" Y! i8 C

cos85=0.08715574274765836 cos86=0.06975647374412523 cos87=0.052335956242943966

cos88=0.03489949670250108 cos89=0.0174524064372836

3 l3 }6 E" ~/ B6 \. A

cos90=0

tan1=0.017455064928217585 tan2=0.03492076949174773 tan3=0.052407779283041196

3 z+ w9 q0 K( w) F

tan4=0.06992681194351041 tan5=0.08748866352592401 tan6=0.10510423526567646

, x- |' @3 s4 k# l+ C1 Y% Y

tan7=0.1227845609029046 tan8=0.14054083470239145 tan9=0.15838444032453627

/ F6 A# ?% f+ F4 t0 r) z* E) C8 D

tan10=0.17632698070846497 tan11=0.19438030913771848 tan12=0.2125565616700221

. P/ E  ^/ x9 d# e* z

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

: S" J4 j1 u: ]5 `

tan22=0.4040262258351568 tan23=0.4244748162096047 tan24=0.4452286853085361

. l" d# ~" h2 r) I/ p% t+ X8 ]

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

" }# v& y0 I# h  Z

tan34=0.6745085168424265 tan35=0.7002075382097097 tan36=0.7265425280053609

tan37=0.7535540501027942 tan38=0.7812856265067174 tan39=0.8097840331950072

0 @- J$ G& D& H5 ?" Q

tan40=0.8390996311772799 tan41=0.8692867378162267 tan42=0.9004040442978399

tan43=0.9325150861376618 tan44=0.9656887748070739 tan45=0.9999999999999999

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=1.9626105055051503

# Q" ~. u! F: ^. o( K

tan64=2.050303841579296 tan65=2.1445069205095586 tan66=2.246036773904215

tan67=2.355852365823753 tan68=2.4750868534162946 tan69=2.6050890646938023

, z) o  @( A  e7 m, }) \" W2 h

tan70=2.7474774194546216 tan71=2.904210877675822 tan72=3.0776835371752526

5 ]: K7 }* Y. n- K3 l$ H

tan73=3.2708526184841404 tan74=3.4874144438409087 tan75=3.7320508075688776

) A7 g3 O4 @; O/ w5 e  `, d

tan76=4.0107809335358455 tan77=4.331475874284153 tan78=4.704630109478456

! I6 k$ |2 Y: N# _( G. x% \

tan79=5.144554015970307 tan80=5.671281819617707 tan81=6.313751514675041

) I% l. t* I: H: R( T; l

tan82=7.115369722384207 tan83=8.144346427974593 tan84=9.514364454222587

# V4 k2 Q. O* A* w3 o

tan85=11.43005230276132 tan86=14.300666256711942 tan87=19.08113668772816

tan88=28.636253282915515 tan89=57.289961630759144

tan90=(无限)

6 g8 [5 G: v3 J9 E2 D. \

* h' f9 d  Z# K% ]6 b& m

bobo123f

啥也不说了，楼主是铁杆级的ug爱好者，就是给力！UG论坛更给力！