找到所有关于sin,cos,tan的基本公式。
公式:
1,基本属性:
tanx=sinx/cosx?
sinx^x+cos^x=1
2.奇偶校验:
sin(-x)=-sinx
cos(-x)=cosx
tan(-x)=-tanx
3、两角和差公式:
sin(x+-y)=sinxcosy+-cosxsiny
cos(x+-y)=cosxcosy-+sinxsiny
tan(x+-y)=(tanx+-tany)/(1-+tanx tany)
4、双角度公式:
sin2x=2sinxcosx
cos2x=cos^x-sin^x=2cos^x-1=1-2sin^x
tan2x=2tanx/(1-tan^x)
5.半角公式:
sin^x/2=(1-cosx)/2
cos^x/2=(1+cosx)/2
tan^x/2=sinx/(1+cosx)=(1-cosx)/sinx
1-cosx=2sin^x/2
1+cosx=2sin^x/2
6.通用公式:
sinx=(2tanx/2)/(1+tan^x/2)
cosx=(1-tan^x/2)/(1+tan^x/2)
tanx=(2tanx/2)/(1-tan^x/2)
7、三倍角公式:
sin3x = 3 sinx-4s in 3x(sinx的立方)
cos3x=4cos^3 x-3cosx
8、积和差公式:
sinx cosy = 1/2[sin(x+y)+sin(x-y)]
cosx siny = 1/2[sin(x+y)-sin(x-y)]
cosx cosy = 1/2[cos(x+y)+cos(x-y)]
sinx siny-1/2[cos(x+y)-cos(x-y)]
9.和差乘积公式:
sinx+siny = 2 sin(x+y)/2cos(x-y)/2
sinx-siny = 2cos(x+y)/2sin(x-y)/2
cosx+cosy = 2cos(x+y)/2cos/(x-y)2
cosx-cosy =-2 sin(x+y)/2 * sin(x-y)/2