三角函数值对照表

三角函数值对照表

三角函数是数学中初等函数中属于超越函数的一类函数。它们的本质是任意角的集合和一组比值的变量之间的映射。通常的三角函数是在平面直角坐标系中定义的，其定义域是整个实数域。另一个定义在直角三角形里，但不完整。

1三角函数值表大全

角α 0° 30° 45° 60° 90° 120° 135° 150° 180° 270° 360°

弧度制 o π/6 π/4 π/3 π/2 2π/3 3π/4 5π/6 π 3π/2 2π

sinα o 1/2 √2/2 √3/2 1 √3/2 √2/2 1/2 0 -1 0

cosα 1 √3/2 √2/2 1/2 0 -1/2 -√2/2 -√3/2 -1 0 1

tanα o √3/3 1 √3 - -√3 -1 -√3/3 0 - 0

sin0=sin0°=0

cos0=cos0°=1

tan0=tan0°=0sin15=0.650；

sin15°=（√6-√2）/4

cos15=-0.759；cos15°=（√6+√2）/4

tan15=-0.855；tan15°=2-√3sin30=-0.988；

sin30°=1/2

cos30=0.154；cos30°=√3/2tan30=-6.405； tan30°=√3/3sin45=0.851；

sin45°=√2/2cos45=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. sin2=0. sin3=0.

sin4=0. sin5=0. sin6=0. sin7=0. sin8=0. sin9=0.

sin10=0. sin11=0. sin12=0.

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

sin16=0. sin17=0. sin18=0.

sin19=0. sin20=0. sin21=0.

sin22=0. sin23=0. sin24=0.

sin25=0. sin26=0. sin27=0.

sin28=0. sin29=0. sin30=0.

sin31=0. sin32=0. sin33=0.

sin34=0. sin35=0. sin36=0.

sin37=0. sin38=0. sin39=0.

sin40=0. sin41=0. sin42=0.

sin43=0. sin44=0. sin45=0.

sin46=0. sin47=0. sin48=0.

sin49=0. sin50=0. sin51=0.

sin52=0. sin53=0. sin54=0.

sin55=0. sin56=0. sin57=0.

sin58=0. sin59=0. sin60=0.

sin61=0. sin62=0. sin63=0.

sin64=0. sin65=0. sin66=0. sin67=0. sin68=0. sin69=0.

sin70=0. sin71=0. sin72=0.

sin73=0. sin74=0. sin75=0.

sin76=0. sin77=0. sin78=0.

sin79=0. sin80=0. sin81=0.

sin82=0. sin83=0. sin84=0.

sin85=0. sin86=0. sin87=0.

sin88=0. sin89=0.

sin90=1

cos1=0. cos2=0. cos3=0.

cos4=0. cos5=0. cos6=0.

cos7=0. cos8=0. cos9=0.

cos10=0. cos11=0. cos12=0.

cos13=0. cos14=0. cos15=0.

cos16=0. cos17=0. cos18=0.

cos19=0. cos20=0. cos21=0.

cos22=0. cos23=0. cos24=0.

cos25=0. cos26=0. cos27=0.

cos28=0. cos29=0. cos30=0.

cos31=0. cos32=0. cos33=0. cos34=0. cos35=0. cos36=0.

cos37=0. cos38=0. cos39=0.

cos40=0. cos41=0. cos42=0.

cos43=0. cos44=0. cos45=0.

cos46=0. cos47=0. cos48=0.

cos49=0. cos50=0. cos51=0.

cos52=0. cos53=0. cos54=0.

cos55=0.2 cos56=0. cos57=0.2

cos58=0. cos59=0. cos60=0.

cos61=0. cos62=0.6 cos63=0.

cos64=0.6 cos65=0. cos66=0.

cos67=0. cos68=0.2 cos69=0.

cos70=0. cos71=0.5 cos72=0.5

cos73=0.7 cos74=0. cos75=0.

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

cos79=0. cos80=0. cos81=0.

cos82=0. cos83=0. cos84=0.

cos85=0. cos86=0. cos87=0.

cos88=0. cos89=0.

tan1=0. tan2=0. tan3=0. tan4=0. tan5=0. tan6=0.

tan7=0. tan8=0. tan9=0.

tan10=0. tan11=0. tan12=0.

tan13=0. tan14=0. tan15=0.

tan16=0. tan17=0. tan18=0.

tan19=0. tan20=0. tan21=0.

tan22=0. tan23=0. tan24=0.

tan25=0. tan26=0. tan27=0.

tan28=0. tan29=0. tan30=0.

tan31=0. tan32=0. tan33=0.

tan34=0. tan35=0. tan36=0.

tan37=0. tan38=0. tan39=0.

tan40=0. tan41=0. tan42=0.

tan43=0. tan44=0. tan45=0.

tan46=1. tan47=1. tan48=1.

tan49=1. tan50=1. tan51=1.

tan52=1. tan53=1. tan54=1.

tan55=1. tan56=1. tan57=1.

tan58=1. tan59=1. tan60=1.

tan61=1. tan62=1. tan63=1. tan64=2. tan65=2. tan66=2.

tan67=2. tan68=2. tan69=2.

tan70=2. tan71=2. tan72=3.

tan73=3. tan74=3. tan75=3.

tan76=4. tan77=4. tan78=4.

tan79=5. tan80=5. tan81=6.

tan82=7. tan83=8. tan84=9.

tan85=11. tan86=14. tan87=19.

tan88=28. tan89=57.

tan90=无取值范围

2三角函数十组诱导公式