初中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=

CosA=

TanA=

CotA=A的对边斜边

A的邻边斜边

A的对边A的邻边

A的邻边A的对边

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

ＳｉｎＡ＊２＋ＣｏｓＡ＊２＝１

ＴａｎＡ · ＣｏｔＡ＝１

ＴａｎＡ＝ＳｉｎＡ／ＣｏｓＡ

ＣｏｔＡ＝ＣｏｓＡ／ＳｉｎＡ

ＴａｎＡ＝１／ＣｏｔＡ

sin A= cos（90- A）

tan A =cotA（90- A）

此为必背图表

角度

三角函数

ｓｉｎ

ｃｏｓ

ｔａｎ

ｃｏｔ

０度

０

１

０

――

３０度

１／２

3233

４５度

22

６０度

32

９０度

１

０

――

０

22１／２

3

１

１

3

33

相对应的示意图见下页～～～～～～～～～～～～～～～～～

＜Ａ＝３０度

＜Ａ＝４５度

＜Ａ＝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°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 （tan1）0

· ７４１ ＝

得到结果

再次键入

SHIFT

o’’’ 完成

０

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=0.54463

sin34=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=0.89100

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=0.99026

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=0.99862

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=0.9659

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=0.7880

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=0.052407

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

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=0.78128

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=0.28351

sin2=0.50097

sin3=0.94383

sin4=0.1253

sin5=0.65816

sin6=0.15346

sin7=0.514747

sin8=0.1391731

sin9=0.023087

sin10=0.693033

sin11=0.1948

sin12=0.25931

sin13=0.224951

sin14=0.246773

sin15=0.258819

sin16=0.27563735581699916

sin17=0.29237

sin18=0.3474

sin19=0.3255681544571567

sin20=0.3427

sin21=0.35836794954530027

sin22=0.3746

sin23=0.3937

sin24=0.40015

sin25=0.422644

sin26=0.43837

sin27=0.45399

sin28=0.46947

sin29=0.48486

sin30=0.49999999999999994

sin31=0.5152

sin32=0.52999

sin33=0.544639035015027

sin34=0.55968

sin35=0.573576436351046

sin36=0.5877852522924731

sin37=0.6483

sin38=0.66583

sin39=0.62932

sin40=0.6427876096865392

sin41=0.6563

sin42=0.66913

sin43=0.68985

sin44=0.6946583704589972

sin45=0.7475

sin46=0.76511

sin47=0.73705

sin48=0.74341

sin49=0.7547

sin50=0.766

sin51=0.77708

sin52=0.7889

sin53=0.7986355100472928

sin54=0.8474

sin55=0.819152

sin56=0.8297

sin57=0.83867

sin58=0.848

sin59=0.85722

sin60=0.8666

sin61=0.87467

sin62=0.8829475928589269

sin63=0.8918

sin64=0.898794046299167

sin65=0.9499

sin66=0.96009

sin67=0.9204

sin68=0.92773

sin69=0.93358

sin70=0.9396926207859083

sin71=0.94557

sin72=0.9515

sin73=0.9563

sin74=0.96189

sin75=0.9659258262890683

sin76=0.9765

sin77=0.97437

sin78=0.97857

sin79=0.9864

sin80=0.9848

sin81=0.9876883405951378

sin82=0.9904

sin83=0.992546151641322

sin84=0.99452

sin85=0.99655

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=0.99655

cos6=0.99452

cos7=0.992546151641322

cos8=0.9904

cos9=0.9876883405951378

cos10=0.9848

cos11=0.9864

cos12=0.97857

cos13=0.97437

cos14=0.9765

cos15=0.9659258262890683

cos16=0.96189

cos17=0.9563

cos18=0.9515

cos19=0.94558

cos20=0.9396926207859084

cos21=0.93358

cos22=0.92774

cos23=0.9204

cos24=0.96009

cos25=0.9499

cos26=0.898794046299167

cos27=0.8919

cos28=0.882947592858927

cos29=0.87467

cos30=0.8667

cos31=0.85723

cos32=0.848

cos33=0.83867

cos34=0.8297

cos35=0.819152

cos36=0.8474

cos37=0.7986355100472928

cos38=0.7889

cos39=0.77709

cos40=0.766

cos41=0.7547

cos42=0.74342

cos43=0.73705

cos44=0.76512

cos45=0.7476

cos46=0.6946583704589974

cos47=0.68985

cos48=0.66913

cos49=0.6564

cos50=0.6427876096865394

cos51=0.62932

cos52=0.66583

cos53=0.6484

cos54=0.5877852522924731

cos55=0.5735764363510462

cos56=0.55968

cos57=0.544639

cos58=0.52999

cos59=0.5154

cos60=0.5001

cos61=0.4848

cos62=0.469476

cos63=0.45399

cos64=0.438376

cos65=0.422644

cos66=0.4004

cos67=0.3937

cos68=0.3746

cos69=0.35836794954530015

cos70=0.3428

cos71=0.325568

cos72=0.34745

cos73=0.2923717

cos74=0.27563735581699916

cos75=0.258819

cos76=0.246767

cos77=0.224951

cos78=0.25923

cos79=0.19491

cos80=0.693041

cos81=0.023092

cos82=0.1391731

cos83=0.514749

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

tan4=0.51041

tan5=0.92401

tan6=0.17646

tan7=0.29046

tan8=0.14145

tan9=0.453627

tan10=0.846497

tan11=0.19438

tan12=0.20221

tan13=0.2331

tan14=0.249328

tan15=0.2679491924311227

tan16=0.2867453857588079

tan17=0.36033

tan18=0.32493

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

tan31=0.6604

tan32=0.6248693519093275

tan33=0.6494

tan34=0.6745

tan35=0.7097

tan36=0.7265425280053609

tan37=0.753554

tan38=0.78174

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=1.27994

tan53=1.3278

tan54=1.37638

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

tan64=2.296

tan65=2.1445

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=3.48747

tan75=3.7326

tan76=4.8455

tan77=4.3353

tan78=4.756

tan79=5.0307

tan80=5.6707

tan81=6.3041

tan82=7.4207

tan83=8.4593

tan84=9.5587

tan85=11.43

tan86=14.342

tan87=19.16

tan88=28.636253282915515

tan89=57.289961630759144

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：

/view/初中数学 锐角三角形讲解

/view/初中三角函数值表

/view/?edu_search=true计算器三角函数求值

还有百度知道：

/question/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，仅供学习交流