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