初中三角函数值表.docx

初中三角函数值表.docx

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初中三角函数值表

初中三角函数值表

特殊角三角函数值

sin0=0sin30=0.5sin45=0.7071=

sin60=

=0.866sin90=1　cos0=1cos30=

=0.866　　cos45=

=0.70cos60=0.5cos90=0tan0=0tan30=

=0.577tan45=1tan60=

=1.732tan90=无cot0=无cot30=

=1.732cot45=1cot60=

=0.577cot90=0

（2）0°～90°的任意角的三角函数值，查三角函数表。

（见下）

（3）锐角三角函数值的变化情况

（i）锐角三角函数值都是正值

（ii）当角度在0°～90°间变化时，

　正弦值随着角度的增大（或减小）而增大（或减小）

　　余弦值随着角度的增大（或减小）而减小（或增大）

　　正切值随着角度的增大（或减小）而增大（或减小）

　　余切值随着角度的增大（或减小）而减小（或增大）

　（iii）当角度在0°≤α≤90°间变化时，

　0≤sinα≤1,1≥cosα≥0,

　当角度在0°<α<90°间变化时，

tanα>0,cotα>0.

附：

三角函数值表

sin0=0,

sin15=（√6-√2）/4,

sin30=1/2,

sin45=√2/2,

sin60=√3/2,

sin75=（√6+√2）/2,

sin90=1,

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

sin1=0.01745sin2=0.034899sin3=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=0.43837sin27=0.45399　　sin28=0.46947sin29=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=0.71933sin47=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=0.6293cos52=0.6156cos53=0.6018cos54=0.5877　cos55=0.5735

cos56=0.5592cos57=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=0.1218cos84=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=0.23086tan14=0.24932

tan15=0.26794　　tan16=0.28674

tan17=0.30573tan18=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=0.62486tan33=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=1.42814tan56=1.48256

tan57=1.53986　tan58=1.60033

tan59=1.66427tan60=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