三角函数是数学中属于初等函数中的超越函数的一类函数。它们的本质是任意角的集合与一个比值的集合的变量之间的映射。通常的三角函数是在平面直角坐标系中定义的，其定义域为整个实数域。另一种定义是在直角三角形中，但并不完全。

sin0=sin0°=0

cos0=cos0°=1

tan0=tan0°=0

sin15=0.650；sin15°=(√6-√2)/4

cos15=-0.759；cos15°=(√6+√2)/4

tan15=-0.855；tan15°=2-√3

sin30=-0.988；sin30°=1/2

cos30=0.154；cos30°=√3/2

tan30=-6.405；tan30°=√3/3

sin45=0.851；sin45°=√2/2

cos45=0.525；cos45°=sin45°=√2/2

tan45=1.620；tan45°=1

sin60=-0.305；sin60°=√3/2

cos60=-0.952；cos60°=1/2

tan60=0.320；tan60°=√3

sin75=-0.388；sin75°=cos15°

cos75=0.922；cos75°=sin15°

tan75=-0.421；tan75°=sin75°/cos75° =2+√3

sin90=0.894；sin90°=cos0°=1

cos90=-0.448；cos90°=sin0°=0

tan90=-1.995；tan90°不存在

sin105=-0.971；sin105°=cos15°

cos105=-0.241；cos105°=-sin15°

tan105=4.028；tan105°=-cot15°

sin120=0.581；sin120°=cos30°

cos120=0.814；cos120°=-sin30°

tan120=0.713；tan120°=-tan60°

sin135=0.088；sin135°=sin45°

cos135=-0.996；cos135°=-cos45°

tan135=-0.0887；tan135°=-tan45°

sin150=-0.7149；sin150°=sin30°

cos150=-0.699；cos150°=-cos30°

tan150=-1.022；tan150°=-tan30°

sin165=0.998；sin165°=sin15°

cos165=-0.066；cos165°=-cos15°

tan165=-15.041；tan165°=-tan15°

sin180=-0.801；sin180°=sin0°=0

cos180=-0.598；cos180°=-cos0°=-1

tan180=1.339；tan180°=0

sin195=0.219；sin195°=-sin15°

cos195=0.976；cos195°=-cos15°

tan195=0.225；tan195°=tan15°

sin360=0.959；sin360°=sin0°=0

cos360=-0.284；cos360°=cos0°=1

tan360=-3.380；tan360°=tan0°=0

cos72度=[(√5)-1]/4(利用黄金等腰三角形可得出)

sin1=0.028351 sin2=0.050097 sin3=0.094383

sin4=0.01253 sin5=0.065816 sin6=0.

sin7=0. sin8=0.006544 sin9=0.023087

sin10=0. sin11=0.65448 sin12=0.

sin13=0. sin14=0. sin15=0.

sin16=0. sin17=0.27367 sin18=0.49474

sin19=0.71567 sin20=0.56687 sin21=0.

sin22=0.5912 sin23=0.92737 sin24=0.

sin25=0.069944 sin26=0.90774 sin27=0.

sin28=0.58908 sin29=0. sin30=0.

sin31=0.00542 sin32=0.32049 sin33=0.5027

sin34=0.07468 sin35=0.1046 sin36=0.24731

sin37=0.20483 sin38=0.56583 sin39=0.98375

sin40=0.65392 sin41=0.05073 sin42=0.88582

sin43=0.24985 sin44=0.89972 sin45=0.65475

sin46=0.86511 sin47=0.91705 sin48=0.73941

sin49=0.27719 sin50=0.8978 sin51=0.69708

sin52=0.67219 sin53=0.72928 sin54=0.49474

sin55=0.89918 sin56=0.50417 sin57=0.54239

sin58=0.6426 sin59=0.21122 sin60=0.44386

sin61=0.93957 sin62=0.89269 sin63=0.83678

sin64=0.9167 sin65=0.66499 sin66=0.26009

sin67=0.24404 sin68=0.67873 sin69=0.72017

sin70=0.59083 sin71=0.93167 sin72=0.51535

sin73=0.30354 sin74=0.83189 sin75=0.90683

sin76=0.59965 sin77=0.52352 sin78=0.38057

sin79=0.7664 sin80=0.2208 sin81=0.51378

sin82=0.15704 sin83=0.1322 sin84=0.82733

sin85=0.17455 sin86=0.98242 sin87=0.45738

sin88=0.90958 sin89=0.63913

sin90=1

cos1=0.63913 cos2=0.90958 cos3=0.45738

cos4=0.98242 cos5=0.17455 cos6=0.82733

cos7=0.1322 cos8=0.15704 cos9=0.51378

cos10=0.2208 cos11=0.7664 cos12=0.38057

cos13=0.52352 cos14=0.59965 cos15=0.90683

cos16=0.83189 cos17=0.30355 cos18=0.51535

cos19=0.93168 cos20=0.59084 cos21=0.72017

cos22=0.67874 cos23=0.24404 cos24=0.26009

cos25=0.66499 cos26=0.9167 cos27=0.83679

cos28=0.8927 cos29=0.93957 cos30=0.44387

cos31=0.21123 cos32=0.6426 cos33=0.5424

cos34=0.50417 cos35=0.89918 cos36=0.49474

cos37=0.72928 cos38=0.67219 cos39=0.69709

cos40=0.8978 cos41=0.2772 cos42=0.73942

cos43=0.91705 cos44=0.86512 cos45=0.65476

cos46=0.89974 cos47=0.24985 cos48=0.88582

cos49=0.05074 cos50=0.65394 cos51=0.98375

cos52=0.56583 cos53=0.20484 cos54=0.24731

cos55=0.10462 cos56=0.07468 cos57=0.50272

cos58=0.32049 cos59=0.00544 cos60=0.00001

cos61=0.63371 cos62=0. cos63=0.95468

cos64=0. cos65=0.069944 cos66=0.58004

cos67=0.92737 cos68=0.59122 cos69=0.

cos70=0.56688 cos71=0. cos72=0.

cos73=0. cos74=0. cos75=0.

cos76=0. cos77=0. cos78=0.

cos79=0. cos80=0. cos81=0.023092

cos82=0.006546 cos83=0. cos84=0.

cos85=0.065836 cos86=0.012523 cos87=0.0

cos88=0.050108 cos89=0.02836

tan1=0.0 tan2=0.074773 tan3=0.0041196

tan4=0.051041 tan5=0.092401 tan6=0.

tan7=0.29046 tan8=0. tan9=0.

tan10=0. tan11=0. tan12=0.00221

tan13=0.55631 tan14=0. tan15=0.11227

tan16=0.88079 tan17=0. tan18=0.29063

tan19=0. tan20=0. tan21=0.54158

tan22=0.51568 tan23=0.96047 tan24=0.85361

tan25=0.49986 tan26=0.58614 tan27=0.44288

tan28=0.14788 tan29=0.2769 tan30=0.96257

tan31=0.75604 tan32=0.93275 tan33=0.75104

tan34=0.24265 tan35=0.97097 tan36=0.53609

tan37=0.27942 tan38=0.67174 tan39=0.50072

tan40=0.72799 tan41=0.62267 tan42=0.78399

tan43=0.76618 tan44=0.70739 tan45=0.99999

tan46=1.05693 tan47=1.06826 tan48=1.91927

tan49=1.10092 tan50=1.421 tan51=1.5051

tan52=1.30785 tan53=1.04098 tan54=1.11733

tan55=1.21144 tan56=1.27403 tan57=1.45827

tan58=1.10506 tan59=1.05173 tan60=1.88767

tan61=1.14235 tan62=1.63318 tan63=1.51503

tan64=2.0296 tan65=2.95586 tan66=2.4215

tan67=2.3753 tan68=2.62946 tan69=2.38023

tan70=2.46216 tan71=2.5822 tan72=3.02526

tan73=3.41404 tan74=3.09087 tan75=3.88776

tan76=4.08455 tan77=4.4153 tan78=4.8456

tan79=5.0307 tan80=5.7707 tan81=6.5041

tan82=7.4207 tan83=8.4593 tan84=9.2587

tan85=11.132 tan86=14.1942 tan87=19.016

tan88=28.5515 tan89=57.9144

tan90=无取值范围