问题补充说明:谁能帮忙把正弦、余弦公式,三角函数等等,反正就是高中和角有关的公式给我总结一下,写下来!!
1.诱导公式
术充乎还了另买用里sin(-a)=-s够级in(a)
cos(-a)=cos(a)
sin(2π-a)=cos(a)
cos(2π-a)=sin(a)
sin(2π+a)=cos(a)
cos(2π+a)=-sin(a)
sin(π-a)=sin(a)
cos(π-a)=-cos(a)
sin(π妒曲音+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受西听正航穿(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-来自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)−s360问答in(b)=2cos袁引唱阻(a+b2)sin(a-b2)
cos(a)+cos(b)=2cos(a+b2)cos(a-b2)
厚停上cos(a)-cos(b)=-2sin(a+b2)sin(a-b2)
4.积化和差公式(上面公式反过来就得到了)
sin(a)sin(b)=-12⋅[cos(a+b)-cos(a-b)]
cos(a)cos(b)组制次福伤会=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)=2cos想明行乙任只台女2(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(推导出来的)
a⋅sin被空肉坏病翻头束直茶(a)+b⋅cos(a)=a2+b2sin(a+c)其草实广中tan(c)=ba
a⋅sin(a)-b⋅cos(a)=a2+b2cos(a-c)其中tan(c)=ab
1+sin(a)=(sin(a2)+争亲就少入汽快形供cos(a2))影背卫上阿此2
1-sin(a销犯)=(sin(a2)-cos(a2))2
csc(a)=1划波衣倒件只位增危sin(a)
se秋六速项类红血c(a)=1cos(a)