问题补充说明：高一课本必修4的所有三角函数公式，要全的 谢谢了
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)
cos(2π+a)=-sin(a)
sin(π-a)=sin(a)
cos(π-a)=-cos(a)
sin(π+a乡团握续按思华伤)=-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-故热垂旧和任绍打tan(a)tan(b)
tan(a-b)=tan(a)-tan(b)1+tan(a)tan(b)
3.和差化积公式察冲
sin复轴陈住(a)+sin(b胡在)=2sin(a+b2)cos(a-b2)
sin(a)−sin(b)=2cos(a+b2)sin(a-b2)
销劳威国cos(a)+c往或绝检更试态再呢存任os(b)=2cos(a+b2)cos(a-b2)
cos(a)-cos(b)=-2sin(a+b2)sin亚没边己林团稳不章顾道(a-b2)
4.积化和差公式(上面公拦轮丝斯球乡蛋病沙式反过来就得到了)
sin(a)sin(b)=-12⋅[cos(a+b)-cos(a-b)]
cos(a)cos(b)=12⋅[cos(a+b)+cos(a-b)]
sin(a)co且灯s(b)=12⋅[sin(a+b)+sin(a-b)]
5.二倍角公式
sin(2a)=2sin(a)cos(a)
cos(2a)=cos2(大里阶论曾京全a)-sin2(a)=2cos2(a)-1=1-2sin2(a)
6.半绝家学侵情沙角公式
sin2(a2)=1-cos(a)2
cos2(a2)=1+cos(a)2
tan(a2)=1-cos(a)sin(a)=sina1+cos(a)
7.万能败衡歼公式
练怀齐手害划械sin(a)=2tan(a2)1+tan2(a2)
cos(a)=1-tan2(a2)1+tan2(a2)
tan(a父空跳张持手)=2tan(a2)1-tan2(a2)
8.其它公式(推导出来的)
a说改矿万距氢儿⋅sin(a)+b⋅cos(a)=a2+b2sin(a+c)其中tan(c)=ba
a⋅sin(a)-b⋅cos汽记物扬(a)=a2+b2cos(a-c)其中tan(c)=ab
1+sin(a)=(sin(a2)+cos(a2))2
1-sin(a)=(sin(a2)-cos(a2))2
csc(a)=1sin说料愿粉谁史提(a)
sec(a)=1cos(a)
标签：正切,余弦,正弦
