三角函数值表和数学方程式.doc

三角函数值表：sin0=sin0=0 cos0=cos0=1 tan0=tan0=0 sin15=0.65028784015711686582974027098887；sin15=（6-2）/4 cos15=-0.75968791285882127384814640363328；cos15=（6+2）/4 tan15=-0.85599340090851876402619277823803；tan15=2-3 sin30=-0.98803162409286178998774890729446；sin30=1/2 cos30=0.15425144988758405071866214661421；cos30=3/2 tan30=-6.405331196646275784896075505668；tan30=3/3 sin45=0.85090352453411842486237967761804；sin45=2/2 cos45=0.52532198881772969604746440482356；cos45=sin45=2/2 tan45=1.6197751905438615499827965173949；tan45=1 sin60=-0.30481062110221670562564946547843；sin60=3/2 cos60=-0.95241298041515629269381659599293；cos60=1/2 tan60=0.32004038937956297493818761970571；tan60=3 sin75=-0.38778163540943043773094219282288；sin75=cos15 cos75=0.92175126972474931639229684521414；cos75=sin15 tan75=-0.42070095062112435384419621180484；tan75=sin75/cos75 =2+3 sin90=0.89399666360055789051826949840421；sin90=cos0=1 cos90=-0.44807361612917015236547731439964；cos90=sin0=0 tan90=-1.9952004122082420252873530763796；tan90不存在 sin105=-0.9705352835374847209338032056452；sin105=cos15 cos105=-0.24095904923620141814219566395281；cos105=-sin15 tan105=4.0278017638844193492341772197301；tan105=-cot15 sin120=0.58061118421231428928240695979069；sin120=cos30 cos120=0.81418097052656176790578986177889；cos120=-sin30 tan120=0.71312300978590911614556745464875；tan120=-tan60 sin135=0.088368686104001433036970666416798；sin135=sin45 cos135=-0.99608783514118495835764440142782；cos135=-cos45 tan135=-0.088715756770060446136984268003075；tan135=-tan45 sin150=-0.71487642962916463143638609739663；sin150=sin30 cos150=0.69925080647837513141645161882553；cos150=-cos30 tan150=-1.0223462354365875649863661852619；tan150=-tan30 sin165=0.99779727944989076515961268295525；sin165=sin15 cos165=-0.066336936335623731837538732255201；cos165=-cos15 tan165=-15.041353046538895371867886988769；tan165=-tan15 sin180=-0.80115263573383047774673111582099；sin180=sin0=0 cos180=-0.5984600690578581389679486481597；cos180=-cos0=-1 tan180=1.3386902103511543616808987449579；tan180=0 sin195=0.21945466799406361597859718309894；sin195=-sin15 cos195=0.97562269791944432311811100484535；cos195=-cos15 tan195=0.22493805080802215296340937063051；tan195=tan15 sin360=0.95891572341430650775887594775378；sin360=sin0=0 cos360=-0.28369109148652733463742432444589；cos360=cos0=1 tan360=-3.3801404139609579824775356112668；tan360=tan0=0 cos72=(5)-1/4（利用黄金等腰三角形可得出） sin1=0.01745240643728351 sin2=0.03489949670250097 sin3=0.05233595624294383 sin4=0.0697564737441253 sin5=0.08715574274765816 sin6=0.10452846326765346 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 sin22=0.374606593415912 sin23=0.3907311284892737 sin24=0.40673664307580015 sin25=0.42261826174069944 sin26=0.4383711467890774 sin27=0.45399049973954675 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 sin37=0.6018150231520483 sin38=0.6156614753256583 sin39=0.6293203910498375 sin40=0.6427876096865392 sin41=0.6560590289905073 sin42=0.6691306063588582 sin43=0.6819983600624985 sin44=0.6946583704589972 sin45=0.7071067811865475 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 sin55=0.8191520442889918 sin56=0.8290375725550417 sin57=0.8386705679454239 sin58=0.848048096156426 sin59=0.8571673007021122 sin60=0.8660254037844386 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 sin70=0.9396926207859083 sin71=0.9455185755993167 sin72=0.9510565162951535 sin73=0.9563047559630354 sin74=0.9612616959383189 sin75=0.9659258262890683 sin76=0.9702957262759965 sin77=0.9743700647852352 sin78=0.9781476007338057 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 sin90=1 cos1=0.9998476951563913 cos2=0.9993908270190958 cos3=0.9986295347545738 cos4=0.9975640502598242cos5=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=0.7986355100472928 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=0.6560590289905074 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=0.5000000000000001 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 cos87=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=0.9999999999999999 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 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 tan90=无取值数学方程式：数关系tan cot=1 sin csc=1 cos sec=1 商数关系tan=sin/cos cot=cos/sin平方关系sin²+cos²=1 1+tan²=sec² 1+cot²=csc² 以下关系，函数名不变，图像看象限. sin（2k+）=sin cos（2k+）=cos tan（2k+）=tan cot（2k+）=cot sin（+）=-sin cos（+）=-cos tan（+）=tan cot（+）=cot sin（）=sin cos（）=-cos tan（）=-tan cot（）=-cot sin（2）=-sin cos（2）=cos tan（2）=-tan cot（2）=-cot 以下关系，奇变偶不变，符号看象限 sin（90-）=cos cos（90-）=sin tan（90-）=cot cot（90-）=tan sin（90+）=cos cos（90+）=-sin tan（90+）=-cot cot（90+）=-tan sin（270-)=-cos cos（270-)=-sin tan（270-)=cot cot（270-)=tan sin（270