三角函数特殊角值表.doc

角度函数030456090120135150180270360角a的弧度0/6/4/3/22/33/45/63/22sin01/22/23/213/22/21/20-10cos13/22/21/20-1/2-2/2-3/2-101tan03/313-3-1-3/3001、图示法：借助于下面三个图形来记忆，即使有所遗忘也可根据图形重新推出：12601451 sin30=cos60=，sin45=cos45=， tan30=cot60=， tan 45=cot45=1 3012 正弦函数 sin=y/r 余弦函数 cos=x/r 正切函数 tan=y/x 余切函数 cot=x/y 正割函数 sec=r/x 余割函数 csc=r/y 2、列表法：说明：正弦值随角度变化，即0 30 45 60 90变化；值从0 1变化，其余类似记忆3、规律记忆法：观察表中的数值特征，可总结为下列记忆规律： 有界性：（锐角三角函数值都是正值）即当090时，则0sin1； 0cos1 ； tan0 ； cot0。增减性：（锐角的正弦、正切值随角度的增大而增大；余弦、余切值随角度的增大而减小），即当0AB90时，则sinAsinB；tanAtanB； cosAcosB；cotAcotB；特别地：若045，则sinAcosA；tanAcotA 若45A90，则sinAcosA；tanAcotA4、口决记忆法：观察表中的数值特征正弦、余弦值可表示为形式，正切、余切值可表示为形式，有关m的值可归纳成顺口溜：一、二、三；三、二、一；三九二十七函数名正弦余弦正切余切正割余割符号 sin cos tan cot sec csc正弦函数sin（A）=a/c余弦函数cos（A）=b/c正切函数tan（A）=a/b余切函数cot（A）=b/a其中a为对边，b为邻边，c为斜边三角函数对照表三角函数SINCOSTAN三角函数SINCOSTAN00109010无10.01740.99980.0174890.99980.017457.289920.03480.99930.0349880.99930.034828.636230.05230.99860.0524870.99860.052319.081140.06970.99750.0699860.99750.069714.300650.08710.99610.0874850.99610.087111.430060.10450.99450.1051840.99450.10459.514370.12180.99250.1227830.99250.12188.144380.13910.99020.1405820.99020.13917.115390.15640.98760.1583810.98760.15646.3137100.17360.98480.1763800.98480.17365.6712110.19080.98160.1943790.98160.19085.1445120.20790.97810.2125780.97810.20794.7046130.22490.97430.2308770.97430.22494.3314140.24190.97020.2493760.97020.24194.0107150.25880.96590.2679750.96590.25883.7320160.27560.96120.2867740.96120.27563.4874170.29230.95630.3057730.95630.29233.2708180.30900.95100.3249720.95100.30903.0776190.32550.94550.3443710.94550.32552.9042200.34200.93960.3639700.93960.34202.7474210.35830.93350.3838690.93350.35832.6050220.37460.92710.4040680.92710.37462.4750230.39070.92050.4244670.92050.39072.3558240.40670.91350.4452660.91350.40672.2460250.42260.90630.4663650.90630.42262.1445260.43830.89870.4877640.89870.43832.0503270.45390.89100.5095630.89100.45391.9626280.46940.88290.5317620.88290.46941.8807290.48480.87460.5543610.87460.48481.8040300.50000.86600.5773600.86600.50001.7320310.51500.85710.6008590.85710.51501.6642320.52990.84800.6248580.84800.52991.6003330.54460.83860.6494570.83860.54461.5398340.55910.82900.6745560.82900.55911.4825350.57350.81910.7002550.81910.57351.4281360.58770.80900.7265540.80900.58771.3763370.60180.79860.7535530.79860.60181.3270380.61560.78800.7812520.78800.61561.2799390.62930.77710.8097510.77710.62931.2348400.64270.76600.8390500.76600.64271.1917410.65600.75470.8692490.75470.65601.1503420.66910.74310.9004480.74310.66911.1106430.68190.73130.9325470.73130.68191.0723440.69460.71930.9656460.71930.69461.0355450.70710.70711450.70710.70711同角基本关系式倒数关系商的关系平方关系诱导公式(其中kZ)两角和与差的三角函数公式万能公式半角的正弦、余弦和正切公式三角函数的降幂公式二倍角的正弦、余弦和正切公式三倍角的正弦、余弦和正切公式三角函数的和差化积公式三角函数的积化和差公式化asin bcos为一个角的一个三角函数的形式（