初中三角函数详细数值表

1、初中三角函数详细数值表本篇是关于初中三角函数的速记与理解，皆来自于课本与网络，所以免费。欢迎曾经与我一样不理解的初学者观阅本品仅用于学习交流，谢绝转载。首先，我们先理解基础概念，如下：A的对边SinA= 斜边 A的邻边CosA= 斜边 A的对边TanA= a的邻边.A的邻边CotA= . a的对边还有一点很重要，0 < sinA < 10 < sinA <1根据三角函数的定义，我们还可以得出S inA* 2+CosA* 2=1TanA CotA=1TanA=SinA/CosACotA=CosA/SinATanA=l/CotAsin A= cos (90 - A) tan

2、 A =cotA (90 - A)此为必背图表角度三角函数0度3 0度4 5度6 0度9 0度sin01/2221cos1更2T1/20tan0迟31cotV3130木相对丿'/的示意图, 页力 邻边CVA=3O度<A=45 度vA=60 度如何用计算器计算函数值（1）求已知锐角的三角函数值求 sin63 °52 41 的值.（精确到 0. 0001 ）先用如下方法将角度单位状态设定为“度”：SHIFT MODE(SETUP) 3 显示D依次键入 sin 63°52' 41得到结果；求cot70 °5 '的值.（精确到0. 0001

3、）在角度单位状态为“度”的情况下（屏幕显示）， 按下列顺序依次按键：1- cot 70°45=得到结果（2）由锐角三角函数值求锐角已知tanx = 0. 7410，求锐角x.(精确到) 在角度单位状态为“度”的情况下(屏幕显示)， 按下列顺序依次按键：SHIFT tan(tan)0 7 4 1=0得到结果再次键入SHIFTo''' 完成接下来如标题示，整理好的三角函数表sin 15= (V 6-V 2)/4 ,sin 75=(V 6+V 2)/2 ,sin 105=V 2/2*( V 3/2+1/2)sin 120=V 3/2sin 135=V 2/2sin

4、150=1/2sin 165= (V 6-V 2)/4sin 180=0sin270=-1sin360=0(上为特殊值)sin 1=0.01745sin2=0.034899sin3=0.052335sin4=0.069756 sin5=0.087155 sin6=0.104528 sin7=0.121869 sin8=0.139173 sin9=0.156434 sin10=0.17364 sin11=0.19080 sin12=0.20791 sin13=0.22495 sin14=0.24192 sin15=0.25881 sin16=0.27563 sin17=0.29237 sin18

5、=0.30901 sin19=0.32556 sin20=0.34202sin21=0.35836 sin22=0.37460 sin23=0.39073 sin24=0.40673 sin25=0.42261 sin26=0.43837 sin27=0.45399 sin28=0.46947 sin29=0.48480 sin30=0.49999 sin31=0.51503 sin32=0.52991 sin33=0.54463 sin34=0.55919 sin35=0.57357 sin36=0.58778 sin37=0.60181 sin38=0.61566 sin39=0.6293

6、2 sin40=0.64278 sin41=0.65605 sin42=0.66913 sin43=0.68199 sin44=0.69465 sin45=0.70710 sin46=0.71933 sin47=0.73135 sin48=0.74314 sin49=0.75470 sin50=0.76604 sin51=0.77714 sin52=0.78801 sin53=0.79863 sin54=0.80901 sin55=0.81915 sin56=0.82903 sin57=0.83867 sin58=0.84804 sin59=0.85716 sin60=0.86602 sin6

7、1=0.87461 sin62=0.88294 sin63=0.89100 sin64=0.89879 sin65=0.90630 sin66=0.91354 sin67=0.92050 sin68=0.92718 sin69=0.93358 sin70=0.93969 sin71=0.94551 sin72=0.95105 sin73=0.95630 sin74=0.96126 sin75=0.96592 sin76=0.97029 sin77=0.97437 sin78=0.97814 sin79=0.98162 sin80=0.98480 sin81=0.98768 sin82=0.99

8、026 sin83=0.99254 sin84=0.99452 sin85=0.99619 sin86=0.99756 sin87=0.99862 sin88=0.99939 sin89=0.99984 sin90=1 cos1=0.99984 cos2=0.99939 cos3=0.99862 cos4=0.99756 cos5=0.99619 cos6=0.99452 cos7=0.99254 cos8=0.99026 cos9=0.98768 cos10=0.9848 cos11=0.9816 cos12=0.97814 cos13=0.9743 cos14=0.9702 cos15=0

9、.9659 cos16=0.9612 cos17=0.9563 cos18=0.9510 cos19=0.9455 cos20=0.9396 cos21=0.9335 cos22=0.9271 cos23=0.9205 cos24=0.9135 cos25=0.9063 cos26=0.8987 cos27=0.8910 cos28=0.8829 cos29=0.8746 cos30=0.8660 cos31=0.8571 cos32=0.8480 cos33=0.8386 cos34=0.8290 cos35=0.8191 cos36=0.8090 cos37=0.7986 cos38=0.

10、7880 cos39=0.7771 cos40=0.7660 cos41=0.7547 cos42=0.7431 cos43=0.7313 cos44=0.7193 cos45=0.7071 cos46=0.6946 cos47=0.6819 cos48=0.6691 cos49=0.6560 cos50=0.6427 cos51=0.6293 cos52=0.6156 cos53=0.6018 cos54=0.5877 cos55=0.5735 cos56=0.5592 cos57=0.5446 cos58=0.5299 cos59=0.5150 cos60=0.5000 cos61=0.4

11、848 cos62=0.4694 cos63=0.4539 cos64=0.4383 cos65=0.4226 cos66=0.4067 cos67=0.3907 cos68=0.3746 cos69=0.3583 cos70=0.3420 cos71=0.3255 cos72=0.3090 cos73=0.2923 cos74=0.2756 cos75=0.2588 cos76=0.2419 cos77=0.2249 cos78=0.2079 cos79=0.1908 cos80=0.1736 cos81=0.1564 cos82=0.1391 cos83=0.1218 cos84=0.10

12、45 cos85=0.0871 cos86=0.06973 cos87=0.052 cos88=0.0348 cos89=0.0174 cos90=0 tan1=0.017455 tan2=0.034920 tan3=0.052407 tan4=0.069926 tan5=0.087488 tan6=0.105104 tan7=0.122784 tan8=0.140540 tan9=0.158384 tan10=0.17632 tan11=0.19438 tan12=0.21255 tan13=0.23086 tan14=0.24932 tan15=0.26794 tan16=0.28674

13、tan17=0.30573 tan18=0.32491 tan19=0.34432 tan20=0.36397 tan21=0.38386 tan22=0.40402 tan23=0.42447 tan24=0.44522 tan25=0.46630 tan26=0.48773 an27=0.50952 tan28=0.53170 tan29=0.55430 tan30=0.57735 tan31=0.60086 tan32=0.62486 tan33=0.64940 tan34=0.67450 tan35=0.70020 tan36=0.72654 tan37=0.75355 tan38=0

14、.78128 tan39=0.80978 tan40=0.83909 tan41=0.86928 tan42=0.90040 tan43=0.93251 tan44=0.96568 tan45=0.99999 tan46=1.03553 tan47=1.07236 tan48=1.11061 tan49=1.15036 tan50=1.19175 tan51=1.23489 tan52=1.27994 tan53=1.32704 tan54=1.3763 tan55=1.42814 tan56=1.48256 tan57=1.53986 tan58=1.60033 tan59=1.66427

15、tan60=1.73205 tan61=1.80404 tan62=1.88072 tan63=1.96261ta n64=2.05030ta n65=2.14450ta n66=2.24603ta n67=2.35585ta n68=2.47508ta n69=2.60508ta n70=2.74747ta n71=2.90421ta n72=3.07768ta n73=3.27085ta n74=3.48741ta n75=3.73205ta n76=4.01078ta n77=4.33147ta n78=4.70463ta n79=5.14455ta n80=5.67128ta n81=

16、6.31375ta n82=7.11536ta n83=8.14434ta n84=9.51436tan85=11.4300ta n86=14.3006ta n87=19.0811tan88=28.6362tan89=57.2899ta n90=无取值如果求精确度的话，还可以看下面sin 1=0.01745240643728351sin2=0.03489949670250097 sin3=0.05233595624294383sin4=0.0697564737441253sin5=0.08715574274765816sin6=0.10452846326765346sin7=0.1218693

17、4340514747sin8=0.13917310096006544sin9=0.15643446504023087sin 10=0.17364817766693033sin11=0.1908089953765448sin 12=0.20791169081775931sin 13=0.22495105434386497sin 14=0.24192189559966773sin 15=0.25881904510252074sin 16=0.27563735581699916sin 17=0.2923717047227367sin 18=0.3090169943749474sin 19=0.325

18、5681544571567sin20=0.3420201433256687sin21=0.35836794954530027sin22=0.374606593415912sin23=0.3907311284892737sin24=0.40673664307580015sin25=0.42261826174069944sin26=0.4383711467890774sin27=0.45399049973954675sin28=0.4694715627858908sin29=0.48480962024633706sin30=0.49999999999999994sin31=0.5150380749

19、100542sin32=0.5299192642332049 sin33=0.544639035015027sin34=0.5591929034707468sin35=0.573576436351046sin36=0.5877852522924731sin37=0.6018150231520483sin38=0.6156614753256583sin39=0.6293203910498375sin40=0.6427876096865392sin41=0.6560590289905073sin42=0.6691306063588582sin43=0.6819983600624985sin44=0

20、.6946583704589972sin45=0.7071067811865475sin46=0.7193398003386511sin47=0.7313537016191705sin48=0.7431448254773941sin49=0.7547095802227719sin50=0.766044443118978sin5仁0.7771459614569708sin52=0.7880107536067219sin53=0.7986355100472928sin54=0.8090169943749474sin55=0.8191520442889918sin56=0.8290375725550

21、417sin57=0.8386705679454239sin58=0.848048096156426sin59=0.8571673007021122sin60=0.8660254037844386sin 6 仁0.8746197071393957sin62=0.8829475928589269sin63=0.8910065241883678sin64=0.898794046299167sin65=0.9063077870366499sin66=0.9135454576426009sin67=0.9205048534524404sin68=0.9271838545667873sin69=0.93

22、35804264972017sin70=0.9396926207859083sin7仁0.9455185755993167sin72=0.9510565162951535sin73=0.9563047559630354sin74=0.9612616959383189sin75=0.9659258262890683sin76=0.9702957262759965sin77=0.9743700647852352sin78=0.9781476007338057sin79=0.981627183447664sin80=0.984807753012208sin8仁0.9876883405951378si

23、n82=0.9902680687415704sin83=0.992546151641322sin84=0.9945218953682733sin85=0.9961946980917455sin86=0.9975640502598242sin87=0.9986295347545738sin88=0.9993908270190958sin89=0.9998476951563913 sin 90=1cos1=0.9998476951563913 cos2=0.9993908270190958cos3=0.9986295347545738cos4=0.9975640502598242cos5=0.99

24、61946980917455cos6=0.9945218953682733cos7=0.992546151641322cos8=0.9902680687415704cos9=0.9876883405951378cos10=0.984807753012208cosl 仁0.981627183447664cos12=0.9781476007338057cos13=0.9743700647852352cos14=0.9702957262759965cos15=0.9659258262890683cos16=0.9612616959383189cos17=0.9563047559630355cos18

25、=0.9510565162951535cos19=0.9455185755993168cos20=0.9396926207859084 cos2 仁0.9335804264972017cos22=0.9271838545667874cos23=0.9205048534524404cos24=0.9135454576426009cos25=0.9063077870366499cos26=0.898794046299167cos27=0.8910065241883679cos28=0.882947592858927 cos29=0.8746197071393957 cos30=0.86602540

26、37844387 cos3 仁0.8571673007021123cos32=0.848048096156426cos33=0.838670567945424cos34=0.8290375725550417cos35=0.8191520442889918cos36=0.8090169943749474cos37=0.7986355100472928cos38=0.7880107536067219cos39=0.7771459614569709cos40=0.766044443118978cos4 仁0.754709580222772cos42=0.7431448254773942cos43=0

27、.7313537016191705cos44=0.7193398003386512cos45=0.7071067811865476cos46=0.6946583704589974cos47=0.6819983600624985cos48=0.6691306063588582cos49=0.6560590289905074cos50=0.6427876096865394cos5 仁0.6293203910498375cos52=0.6156614753256583cos53=0.6018150231520484cos54=0.5877852522924731cos55=0.57357643635

28、10462cos56=0.5591929034707468cos57=0.5446390350150272cos58=0.5299192642332049cos59=0.5150380749100544cos60=0.5000000000000001cos6 仁0.4848096202463371cos62=0.46947156278589086cos63=0.4539904997395468cos64=0.43837114678907746cos65=0.42261826174069944cos66=0.4067366430758004cos67=0.3907311284892737cos6

29、8=0.3746065934159122cos69=0.35836794954530015cos70=0.3420201433256688cos7 仁0.32556815445715675cos72=0.30901699437494745cos73=0.29237170472273677cos74=0.27563735581699916cos75=0.25881904510252074cos76=0.24192189559966767cos77=0.22495105434386514cos78=0.20791169081775923cos79=0.19080899537654491cos80=

30、0.17364817766693041cos8 仁0.15643446504023092cos82=0.13917310096006546cos83=0.12186934340514749cos84=0.10452846326765346cos85=0.08715574274765836cos86=0.06975647374412523cos87=0.052335956242943966cos88=0.03489949670250108cos89=0.0174524064372836cos90=0tan 1=0.017455064928217585tan2=0.0349207694917477

31、3tan3=0.052407779283041196tan4=0.06992681194351041tan5=0.08748866352592401tan6=0.10510423526567646tan7=0.1227845609029046tan8=0.14054083470239145tan9=0.15838444032453627tan 10=0.17632698070846497tan11=0.19438030913771848tan 12=0.2125565616700221tan 13=0.2308681911255631tan 14=0.24932800284318068tan

32、15=0.2679491924311227tan 16=0.2867453857588079tan 17=0.30573068145866033tan 18=0.3249196962329063tan 19=0.34432761328966527tan20=0.36397023426620234tan21=0.3838640350354158tan22=0.4040262258351568tan23=0.4244748162096047tan24=0.4452286853085361tan25=0.4663076581549986tan26=0.4877325885658614tan27=0.

33、5095254494944288tan28=0.5317094316614788tan29=0.554309051452769tan30=0.5773502691896257tan3仁0.6008606190275604tan32=0.6248693519093275tan33=0.6494075931975104tan34=0.6745085168424265tan35=0.7002075382097097tan36=0.7265425280053609tan37=0.7535540501027942tan38=0.7812856265067174tan39=0.80978403319500

34、72tan40=0.8390996311772799tan41=0.8692867378162267tan42=0.9004040442978399tan43=0.9325150861376618tan44=0.9656887748070739tan45=0.9999999999999999tan46=1.0355303137905693tan47=1.0723687100246826tan48=1.1106125148291927tan49=1.1503684072210092tan50=1.19175359259421tan51=1.234897156535051tan52=1.2799416321930785tan53=1.3270448216204098tan54=1.37638192047