三角函数详细数值表

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： SinA=斜边的对边A∠ CosA=斜边的邻边A∠ TanA=的邻边的对边AA∠∠CotA=的对边的邻边AA∠∠ 还有一点很重要， 0 < sinA < 1 0 < sinA <1 根据三角函数的定义， 我们还可以得出 Ｓ ｉ ｎ Ａ＊ ２＋ Ｃｏ ｓ Ａ＊ ２ ＝１ Ｔ ａ ｎ Ａ · Ｃｏ ｔ Ａ＝ １ Ｔ ａ ｎ Ａ＝ Ｓ ｉ ｎ Ａ／ Ｃｏ ｓ Ａ Ｃｏ ｔ Ａ＝ Ｃｏ ｓ Ａ／ Ｓ ｉ ｎ ＡＴ ａ ｎ Ａ＝ １ ／ Ｃｏ ｔ Ａ sin A= cos（ 90°- A） tan 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 ｓ ｉ ｎ ０ １ ／ ２ 22 23 １ ｃ ｏ ｓ １ 23 22 １ ／ ２ ０ ｔ ａ ｎ ０ 33 １ 3 ―― ｃ ｏ ｔ ―― 3 １ 33 ０相对应的示意图见下页～ ～ ～ ～ ～ ～ ～ ～ ～ ～ ～ ～ ～ ～ ～ ～ ～＜ Ａ＝ ３ ０ 度 ＜ Ａ＝ ４ ５ 度 ＜ Ａ＝ ６ ０ 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°45′的值．（ 精确到 0． 0001） 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 1′） 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 （得到结果 1tan−） 0 · ７ ４ １ ＝ ０ 再次键入 SHIFT o’’’ 完成 接下来如标题示， 整理好的三角函数表 sin15=（√ 6-√ 2)/4 , sin75=(√ 6+√ 2)/2 , sin105=√ 2/2*(√ 3/2+1/2) sin120=√ 3/2 sin135=√ 2/2 sin150=1/2 sin165=（√ 6-√ 2)/4 sin180=0 sin270=-1 sin360=0 （ 上为特殊值） sin1=0.01745 sin2=0.034899 sin3=0.052335 sin4=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=0.30901 sin19=0.32556 sin20=0.34202 sin21=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=0.54463sin34=0.55919 sin35=0.57357 sin36=0.58778 sin37=0.60181 sin38=0.61566 sin39=0.62932 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 sin61=0.87461 sin62=0.88294 sin63=0.89100sin64=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=0.99026 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=0.99862cos4=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=0.9659 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=0.8386cos34=0.8290 cos35=0.8191 cos36=0.8090 cos37=0.7986 cos38=0.7880 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=0.4848 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=0.1045 cos85=0.0871 cos86=0.06973 cos87=0.052 cos88=0.0348 cos89=0.0174 cos90=0 tan1=0.017455 tan2=0.034920 tan3=0.052407tan4=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 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=0.64940tan34=0.67450 tan35=0.70020 tan36=0.72654 tan37=0.75355 tan38=0.78128 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 tan60=1.73205 tan61=1.80404 tan62=1.88072 tan63=1.96261 tan64=2.05030 tan65=2.14450 tan66=2.24603 tan67=2.35585 tan68=2.47508 tan69=2.60508 tan70=2.74747 tan71=2.90421 tan72=3.07768 tan73=3.27085 tan74=3.48741 tan75=3.73205 tan76=4.01078 tan77=4.33147 tan78=4.70463 tan79=5.14455 tan80=5.67128 tan81=6.31375 tan82=7.11536 tan83=8.14434 tan84=9.51436 tan85=11.4300 tan86=14.3006 tan87=19.0811 tan88=28.6362 tan89=57.2899 tan90=无取值 如果求精确度的话， 还可以看下面 sin1 =0.01 745240643728351sin2=0.03489949670250097 sin3=0.05233595624294383 sin4=0.0697564737441 253 sin5=0.0871 557427476581 6 sin6=0.1 0452846326765346 sin7=0.1 218693434051 4747 sin8=0.1 391 731 0096006544 sin9=0.1 5643446504023087 sin10=0.1 736481 7766693033 sin11 =0.1 908089953765448 sin12=0.207911 69081775931 sin13=0.224951 05434386497 sin14=0.241 921 89559966773 sin15=0.2588190451 0252074 sin16=0.2756373558169991 6 sin17=0.292371 7047227367 sin18=0.3090169943749474 sin19=0.3255681 544571 567 sin20=0.3420201 433256687 sin21 =0.35836794954530027 sin22=0.374606593415912 sin23=0.390731 1 284892737 sin24=0.4067366430758001 5 sin25=0.422618261 74069944 sin26=0.438371 1 467890774 sin27=0.45399049973954675 sin28=0.469471 5627858908 sin29=0.48480962024633706 sin30=0.49999999999999994 sin31 =0.5150380749100542sin32=0.5299192642332049 sin33=0.544639035015027 sin34=0.5591 929034707468 sin35=0.573576436351 046 sin36=0.5877852522924731 sin37=0.601 8150231 520483 sin38=0.615661 4753256583 sin39=0.629320391 0498375 sin40=0.6427876096865392 sin41 =0.6560590289905073 sin42=0.6691 306063588582 sin43=0.681 9983600624985 sin44=0.6946583704589972 sin45=0.7071 06781 1 865475 sin46=0.719339800338651 1 sin47=0.731 353701 6191 705 sin48=0.7431 448254773941 sin49=0.754709580222771 9 sin50=0.7660444431 18978 sin51 =0.7771 45961 4569708 sin52=0.788010753606721 9 sin53=0.7986355100472928 sin54=0.8090169943749474 sin55=0.8191 52044288991 8 sin56=0.829037572555041 7 sin57=0.8386705679454239 sin58=0.8480480961 56426 sin59=0.8571 673007021 122 sin60=0.8660254037844386 sin61 =0.8746197071 393957sin62=0.8829475928589269 sin63=0.891 0065241 883678 sin64=0.8987940462991 67 sin65=0.9063077870366499 sin66=0.9135454576426009 sin67=0.9205048534524404 sin68=0.9271 838545667873 sin69=0.933580426497201 7 sin70=0.9396926207859083 sin71 =0.9455185755993167 sin72=0.951 0565162951 535 sin73=0.9563047559630354 sin74=0.961 261 6959383189 sin75=0.9659258262890683 sin76=0.9702957262759965 sin77=0.9743700647852352 sin78=0.9781 476007338057 sin79=0.981 6271 83447664 sin80=0.984807753012208 sin81 =0.9876883405951 378 sin82=0.990268068741 5704 sin83=0.9925461 51 641 322 sin84=0.994521 8953682733 sin85=0.9961 94698091 7455 sin86=0.9975640502598242 sin87=0.9986295347545738 sin88=0.9993908270190958 sin89=0.9998476951 56391 3 sin90=1cos1 =0.999847695156391 3 cos2=0.99939082701 90958 cos3=0.9986295347545738 cos4=0.9975640502598242 cos5=0.996194698091 7455 cos6=0.994521 8953682733 cos7=0.992546151 641 322 cos8=0.990268068741 5704 cos9=0.9876883405951378 cos1 0=0.98480775301 2208 cos1 1 =0.9816271 83447664 cos1 2=0.9781 476007338057 cos1 3=0.9743700647852352 cos1 4=0.9702957262759965 cos1 5=0.9659258262890683 cos1 6=0.96126169593831 89 cos1 7=0.9563047559630355 cos1 8=0.95105651 62951535 cos1 9=0.94551 857559931 68 cos20=0.9396926207859084 cos21 =0.933580426497201 7 cos22=0.9271 838545667874 cos23=0.9205048534524404 cos24=0.91 35454576426009 cos25=0.9063077870366499 cos26=0.898794046299167 cos27=0.8910065241 883679 cos28=0.882947592858927 cos29=0.87461 97071 393957cos30=0.8660254037844387 cos31 =0.8571 6730070211 23 cos32=0.8480480961 56426 cos33=0.838670567945424 cos34=0.829037572555041 7 cos35=0.81 91 52044288991 8 cos36=0.80901 69943749474 cos37=0.79863551 00472928 cos38=0.78801 0753606721 9 cos39=0.7771 459614569709 cos40=0.7660444431 1 8978 cos41 =0.754709580222772 cos42=0.7431 448254773942 cos43=0.73135370161 91705 cos44=0.71 9339800338651 2 cos45=0.7071 067811 865476 cos46=0.6946583704589974 cos47=0.6819983600624985 cos48=0.6691 306063588582 cos49=0.6560590289905074 cos50=0.6427876096865394 cos51 =0.6293203910498375 cos52=0.61 56614753256583 cos53=0.60181 50231 520484 cos54=0.5877852522924731 cos55=0.5735764363510462 cos56=0.5591 929034707468 cos57=0.54463903501 50272 cos58=0.52991 92642332049 cos59=0.51 503807491 00544cos60=0.5000000000000001 cos61 =0.4848096202463371 cos62=0.46947156278589086 cos63=0.4539904997395468 cos64=0.4383711 4678907746 cos65=0.42261 826174069944 cos66=0.4067366430758004 cos67=0.3907311 284892737 cos68=0.37460659341 591 22 cos69=0.3583679495453001 5 cos70=0.3420201 433256688 cos71 =0.3255681 5445715675 cos72=0.30901 699437494745 cos73=0.29237170472273677 cos74=0.27563735581 69991 6 cos75=0.25881 90451 0252074 cos76=0.24192189559966767 cos77=0.2249510543438651 4 cos78=0.20791 169081 775923 cos79=0.1 9080899537654491 cos80=0.1 736481 7766693041 cos81 =0.1 5643446504023092 cos82=0.1 391 731 0096006546 cos83=0.1 2186934340514749 cos84=0.1 0452846326765346 cos85=0.0871 5574274765836 cos86=0.06975647374412523 cos87=0.052335956242943966 cos88=0.034899496702501 08cos89=0.01 74524064372836 cos90=0 tan1 =0.017455064928217585 tan2=0.034920769491 74773 tan3=0.052407779283041 1 96 tan4=0.069926811 94351041 tan5=0.08748866352592401 tan6=0.1 051 0423526567646 tan7=0.1 227845609029046 tan8=0.1 40540834702391 45 tan9=0.1 5838444032453627 tan1 0=0.17632698070846497 tan1 1 =0.19438030913771 848 tan1 2=0.21 2556561 6700221 tan1 3=0.230868191 1255631 tan1 4=0.24932800284318068 tan1 5=0.267949192431 1227 tan1 6=0.2867453857588079 tan1 7=0.305730681 45866033 tan1 8=0.32491 96962329063 tan1 9=0.34432761 328966527 tan20=0.36397023426620234 tan21 =0.38386403503541 58 tan22=0.4040262258351568 tan23=0.42447481 62096047 tan24=0.4452286853085361 tan25=0.4663076581549986 tan26=0.487732588565861 4 tan27=0.5095254494944288 tan28=0.531 709431 661 4788tan29=0.554309051 452769 tan30=0.5773502691896257 tan31 =0.60086061 90275604 tan32=0.624869351 9093275 tan33=0.64940759319751 04 tan34=0.67450851 68424265 tan35=0.7002075382097097 tan36=0.7265425280053609 tan37=0.7535540501027942 tan38=0.781 28562650671 74 tan39=0.8097840331950072 tan40=0.839099631 1772799 tan41 =0.86928673781 62267 tan42=0.9004040442978399 tan43=0.93251 5086137661 8 tan44=0.9656887748070739 tan45=0.9999999999999999 tan46=1 .03553031 37905693 tan47=1 .07236871 00246826 tan48=1 .11 061 251 48291927 tan49=1 .150368407221 0092 tan50=1 .191 75359259421 tan51 =1 .234897156535051 tan52=1 .279941 6321930785 tan53=1 .327044821 6204098 tan54=1 .376381 920471 1733 tan55=1 .42814800674211 44 tan56=1 .48256096851 27403 tan57=1 .53986496381 45827 tan58=1 .600334529041 0506tan59=1 .66427948235051 73 tan60=1 .7320508075688767 tan61 =1 .804047755271 4235 tan62=1 .880726465346331 8 tan63=1 .96261 05055051503 tan64=2.050303841 579296 tan65=2.1445069205095586 tan66=2.24603677390421 5 tan67=2.355852365823753 tan68=2.47508685341 62946 tan69=2.6050890646938023 tan70=2.74747741 9454621 6 tan71 =2.90421 0877675822 tan72=3.0776835371752526 tan73=3.27085261 84841404 tan74=3.48741 44438409087 tan75=3.7320508075688776 tan76=4.01 07809335358455 tan77=4.331 475874284153 tan78=4.704630109478456 tan79=5.14455401 5970307 tan80=5.671 281 81 961 7707 tan81 =6.31 3751 51 4675041 tan82=7.11 5369722384207 tan83=8.144346427974593 tan84=9.51 4364454222587 tan85=11 .43005230276132 tan86=14.30066625671 1942 tan87=19.0811 366877281 6 tan88=28.63625328291 551 5tan89=57.2899616307591 44 tan90=(无限) 终于完了， 本人冒着长针眼的危险整理出了这个东东 以下鸣谢百度文库上的资料： 初中数学 锐角三角形讲解 初中三角函数值表 计算器三角函数求值 还有百度知道： 三角函数表 以及数学课本 和 提分教练里的资料 后话：虽然说细数只借鉴了这么多， 但是找资料的时候也费了很多时间， 网页的历史记录竟然已经达到５ ,６ 页了。 再次申明，本资料谢绝转载三角函数表值图片三角函数表值图片， 仅供学习交流