(完整版)常用的三角函数公式大全(2),推荐文档

1、三角函数公式两角和公式sin(a+b) = sinacosb+cosasinb sin(a-b) = sinacosb-cosasinb cos(a+b) = cosacosb-sinasinb cos(a-b) = cosacosb+sinasinbtan(a+b) = tana + tanb1- tanatanbtan(a-b) = tana - tanb1+ tanatanbcot(a+b) = cotacotb-1cotb + cotacot(a-b) = cotacotb +1cotb - cota倍角公式tan2a =2tana1- tan 2a sin2a=2sinacosa c

2、os2a = cos2a-sin2a=2cos2a-1=1-2sin2a三倍角公式sin3a = 3sina-4(sina)3cos3a = 4(cosa)3-3cosapptan3a = tanatan( +a)tan( -a)33半角公式1- cos a2sin( a )= 21+ cos a2cos( a )= 21- cos a1+ cosatan( a )= 2cot( a )= 21+ cos a1- cosatan( a )= 1- cos a = sin a2sin a1+ cos a和差化积sina+sinb=2sin a + b cos a - b22sina-sinb=2

3、cos a + b sin a - b22cosa+cosb = 2cos a + b cos a - b22cosa-cosb = -2sin a + b sin a - b22tana+tanb= sin(a + b)cos a cos b积化和差1sinasinb = -cos(a+b)-cos(a-b)2cosacosb =sinacosb = cosasinb =万能公式1 cos(a+b)+cos(a-b)21 sin(a+b)+sin(a-b)21 sin(a+b)-sin(a-b)22 tan asina=21+ (tan a )22)1- (tan a 2cosa=21+ (

4、tan a )222 tan atana=21- (tan a )22其它公式basina+bcosa=sin(a+c) 其中a(a 2 + b2 )tanc=asin(a)-bcos(a) =cos(a-c) 其中a(a 2 + b2 )aa 21+sin(a) =(sin+cos)222aa1-sin(a) = (sin-cos)22其他非重点三角函数tan(c)=bcsc(a) =sec(a) =1sin a1cos a双曲函数sh(a)= ea - e-a2ch(a)=ea + e-a 2th(a)= sh(a)ch(a)ch2a-sh2a=1 sh2a=2shacha ch2a=ch

5、2a+sh2anp设为任意角，+的三角函数值与的三角函数值之间的关系：假设为锐角时2，先计算np的值，再确定符号，如果n为偶数，则三角函数不变，否则转换2 +np函数，同时去掉np，例如2 psin（） cos（ n）22tan（ np） cot（ np） 22“”“”at the end, xiao bian gives you a passage. minand once said, people who learn to learn are very happy people. in every wonderful life, learning is an eternal theme.

6、as a professional clerical and teaching position, i understand the importance of continuous learning, life is diligent, nothing can be gained, only continuous learning can achieve better self. only by constantly learning and mastering the latest relevant knowledge, can employees from all walks of life keep up with the pace of enterprise development and innovate to meet the needs of the market. this document is also edited by my studi