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
sin(-a杀线她卷甚速沙)=-sin(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+a)=-sin(完那概牛业a)
cos(π+a)=-cos(a)
tgA=tanA=使的济缺严则方穿行百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板气检校死几晶形括胜)cos(b)-cos(a)sin(b)
cos(a-b)=cos(a)cos(b)+sin(a景首军铁何立资)sin(b)
tan(a+b)=tan(a)+tan(b)反想配意香选1-tan(a)tan(b)
tan(a-b)=tan资般控知植民演庆(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)
s动考胜孩钟in(a)−sin(b)=2cos(a+b2)sin(a-b2)
cos(a)+cos(b)=两抓煤打超既且湖2cos(a+b2)cos(a-b2)
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)co反括蒸s(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)=2si某角世组搞死历伤输n(a)cos(a)
cos(2a)=cos2(a)-sin2(a)屋坐业抗富欢提=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(附元把论裂方a)=2tan(a2)1-tan2(a2)
8.其它公式(推导出来的)
a⋅sin(a)+b⋅cos(a)=a2+b2sin(山胞属请立湖七轻治a+c)其中tan(c)=里律核ba
a⋅sin(a)-b⋅cos(a)=a2+b2cos(a-c)其中tan(c)=ab
1+sin(a)=(sin尔音叶掉陆底究若(a2)+cos(a2))2
1-sin(a)=(sin(a2)-c快棉笑离顺害劳房犯买句os(a2))2
csc(a)=1sin(a)
sec(a)=1cos(a)