三角函數(shù)特殊角值表.doc

角度函數(shù)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、圖示法：借助于下面三個(gè)圖形來(lái)記憶，即使有所遺忘也可根據(jù)圖形重新推出：12601451 sin30=cos60=，sin45=cos45=， tan30=cot60=， tan 45=cot45=1 3012 正弦函數(shù) sin=y/r 余弦函數(shù) cos=x/r 正切函數(shù) tan=y/x 余切函數(shù) cot=x/y 正割函數(shù) sec=r/x 余割函數(shù) csc=r/y 2、列表法：說(shuō)明：正弦值隨角度變化，即0 30 45 60 90變化；值從0 1變化，其余類(lèi)似記憶3、規(guī)律記憶法：觀察表中的數(shù)值特征，可總結(jié)為下列記憶規(guī)律： 有界性：（銳角三角函數(shù)值都是正值）即當(dāng)090時(shí)，則0sin1； 0cos1 ； tan0 ； cot0。增減性：（銳角的正弦、正切值隨角度的增大而增大；余弦、余切值隨角度的增大而減?。?，即當(dāng)0AB90時(shí)，則sinAsinB；tanAtanB； cosAcosB；cotAcotB；特別地：若045，則sinAcosA；tanAcotA 若45A90，則sinAcosA；tanAcotA4、口決記憶法：觀察表中的數(shù)值特征正弦、余弦值可表示為形式，正切、余切值可表示為形式，有關(guān)m的值可歸納成順口溜：一、二、三；三、二、一；三九二十七函數(shù)名正弦余弦正切余切正割余割符號(hào) sin cos tan cot sec csc正弦函數(shù)sin（A）=a/c余弦函數(shù)cos（A）=b/c正切函數(shù)tan（A）=a/b余切函數(shù)cot（A）=b/a其中a為對(duì)邊，b為鄰邊，c為斜邊三角函數(shù)對(duì)照表三角函數(shù)SINCOSTAN三角函數(shù)SINCOSTAN00109010無(wú)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同角基本關(guān)系式倒數(shù)關(guān)系商的關(guān)系平方關(guān)系誘導(dǎo)公式(其中kZ)兩角和與差的三角函數(shù)公式萬(wàn)能公式半角的正弦、余弦和正切公式三角函數(shù)的降冪公式二倍角的正弦、余弦和正切公式三倍角的正弦、余弦和正切公式三角函數(shù)的和差化積公式三角函數(shù)的積化和差公式化asin bcos為一個(gè)角的一個(gè)三角函數(shù)的形式（