三角函数值对照表常用的三角函数的值
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。
三角函数值表大全
角α0°30°45°60°90°120°135°150°180°270°360°弧度制oπ/6π/4π/3π/22π/33π/45π/6π3π/22πsinαo1/2√2/2√3/21√3 /2√2/21/20-10cosα1√3/2√2/21/20-1/2-√2/2-√3/2-
101tanαo√3/31√3__√3-1-√3/30-0
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;si n60°=√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°最全三角函数值对照表
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=0.0____ sin2=0.____7 sin3=0.____3
sin4=0.____ sin5=0.087__816 sin6=0.____6
sin7=0.12__4747 sin8=0.__006544 sin9=0.__0__
sin10=0.____ sin11=0.____ sin12=0.____1
sin13=0.____7 sin14=0.____3 sin15=0.____4
sin16=0.____6 sin17=0.____ sin18=0.3090__4
sin22=0.____ sin23=0.____ sin24=0.____5
sin25=0.4226__44 sin26=0.____ sin27=0.____5 sin28=0.____ sin29=0.____6 sin30=0.____4
sin31=0.5__0542 sin32=0.____ sin33=0.____
sin34=0.____ sin35=0.____ sin36=0.____
sin37=0.60__483 sin38=0.6__6583 sin39=0.____ sin40=0.____ sin41=0.____ sin42=0.669__82
sin43=0.____ sin44=0.____ sin45=0.____
sin46=0.____ sin47=0.73__705 sin48=0.743__41 sin49=0.____ sin50=0.____ sin51=0.777__08
sin52=0.____ sin53=0.____ sin54=0.8090__4
sin55=0.819__18 sin56=0.____ sin57=0.____
sin58=0.____ sin59=0.857__22 sin60=0.____
sin61=0.____ sin62=0.____ sin63=0.____
sin64=0.____ sin65=0.____ sin66=0.9__6009
sin67=0.____ sin68=0.927__73 sin69=0.____
sin70=0.____ sin71=0.9455__7 sin72=0.____
sin73=0.____ sin74=0.____ sin75=0.____
sin76=0.____ sin77=0.____ sin78=0.978__57
sin79=0.98__64 sin80=0.____ sin81=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=0.98__64 cos12=0.978__57 cos13=0.____ cos14=0.____ cos15=0.____
cos16=0.____ cos17=0.____ cos18=0.____
cos19=0.9455__8 cos20=0.____ cos21=0.____ cos22=0.927__74 cos23=0.____ cos24=0.9__6009 cos25=0.____ cos26=0.____ cos27=0.____
cos28=0.____ cos29=0.____ cos30=0.____
cos31=0.857__23 cos32=0.____ cos33=0.____ cos34=0.____ cos35=0.819__18 cos36=0.8090__4 cos37=0.____ cos38=0.____ cos39=0.777__09 cos40=0.____ cos41=0.____ cos42=0.743__42 cos43=0.73__705 cos44=0.____ cos45=0.____ cos46=0.____ cos47=0.____ cos48=0.669__82 cos49=0.____ cos50=0.____ cos51=0.____
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