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成人高考数学公式
更新时间: 2021-01-20 18:47:46  

1、诱导公式

sin(-a)=-sin(a)

cos(-a)=cos(a)

sin(π2-a)=cos(a)sin(π2-a)=cos(a)

cos(π2-a)=sin(a)

sin(π2+a)=cos(a)

cos(π2+a)=-sin(a)

sin(π-a)=sin(a)

cos(π-a)=-cos(a)

sin(π+a)=-sin(a)

cos(π+a)=-cos(a)

tga=tana=sinacosa

2、两角和与差的三角函数

sin(a+b)=sin(a)cos(b)+cos(α)sin(b)

cos(a+b)=cos(a)cos(b)-sin(a)sin(b)

sin(a-b)=sin(a)cos(b)-cos(a)sin(b)

cos(a-b)=cos(a)cos(b)+sin(a)sin(b)

tan(a+b)=tan(a)+tan(b)1-tan(a)tan(b)

tan(a-b)=tan(a)-tan(b)1+tan(a)tan(b)

3、和差化积公式

sin(a)+sin(b)=2sin(a+b2)cos(a-b2)

sin(a)?sin(b)=2cos(a+b2)sin(a-b2)

cos(a)+cos(b)=2cos(a+b2)cos(a-b2)

cos(a)-cos(b)=-2sin(a+b2)sin(a-b2)

4、积化和差公式

sin(a)sin(b)=-12[cos(a+b)-cos(a-b)]

cos(a)cos(b)=12[cos(a+b)+cos(a-b)]

sin(a)cos(b)=12[sin(a+b)+sin(a-b)]

5、二倍角公式

sin(2a)=2sin(a)cos(a)

cos(2a)=cos2(a)-sin2(a)=2cos2(a)-1=1-2sin2(a)

6、半角公式

sin2(a2)=1-cos(a)2

cos2(a2)=1+cos(a)2

tan(a2)=1-cos(a)sin(a)=sina1+cos(a)

7、万能公式

sin(a)=2tan(a2)1+tan2(a2)

cos(a)=1-tan2(a2)1+tan2(a2)

tan(a)=2tan(a2)1-tan2(a2)

8、其它公式

1+sin(a)=(sin(a2)+cos(a2))2

1-sin(a)=(sin(a2)-cos(a2))2

其他非重点

csc(a)=1sin(a)

sec(a)=1cos(a)

9、成人高考专升本常用数学公式

三角不等式

一元二次方程的解

某些数列的前n项和

二项式铺开公式

三角函数公式

导数与微分

不定积分表(基本积分)

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