jacky
所有的公式如下，望采纳！
1.诱导公式
sin(-a)=-sin(a)
cos(-a)=cos(a)
sin(2π-a)=cos(a)
cos(2π-a)=sin(a)
sin(2π+a)=cos(a)
co乎福获投短城论但范三称s(2π+a)=-sin(a)
来自sin(π-a)=sin(a)
cos(π-a)=-360问答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)=si侵且营拉n(a)cos(b)+cos(α)sin(b)
cos(a+道降厂题长色算策几密b)=cos(a)cos(b)-sin(a)sin(b)
sin(a-b)=si石般它茶溶最三责经略沙n(a)cos(须作裂修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-比据督友威功空余外交突b2)
4.积化和差但务更还著害基背物通公式(上面公式反过来就得到了)
si远然每盾刚切密苏n(a)sin(际出足州极左b)=-12⋅[cos(备根冷查击体首儿友由少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(革纪另a)2
cos2(a低令圆油甚右势夜照林2)=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(a)+b⋅cos(a)=a2+b2sin阿教料不华能热西可(a+c)其中tan(c)=ba
a⋅sin(a)-b⋅cos(a)=a2+b2cos(a-c)其中tan(c)=ab
1+sin低研维物短黑酒又半(a)=(sin(云江属秋a2)+cos(a2))2
1-sin(a)=(sin(a2)-cos(a2))2
csc(a)=1sin(a)
sec(a)=1cos(a)
