sinC/2cosC/2等于多少
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由正弦定理可得;sinA:sinB:sinC=a:b:c=2:3:4可设a=2k,b=3k,c=4k(k>0)由余弦定理可得,CosC=a2+b2−c22ab=4k2+9k2−16k22•2k•3k=
a:b:c=sinA:sinB:sinC=2:3:4,则设:a=2t、b=3t、c=4t,则:cosC=(a²+b²-c²)/(2ab)=-1/4
令a/sinA=b/sinB=c/sinC=ka:b:c=ksinA:ksinB:ksinC=2:3:4设a=2x,b=3x,c=4xcosC=(a²+b²-c²)/2a
因为sinA:sinB:sinc=2:3:4,根据正弦定理有a:b:c=2:3:4(abc为角ABC所对的角),根据余弦定理又有cosC=(a^2+b^2-c^2)/2ab=(4+9-16)/(2*3
1.因为sinA:sinB:sinc=2:3:4,根据正弦定理有a:b:c=2:3:4(abc为角ABC所对的角),根据余弦定理又有cosC=(a^2+b^2-c^2)/2ab=(4+9-16)/(2
sinA=(sinB+sinC)/(cosB+cosC)sin(B+C)=(sinB+sinC)/(cosB+cosC)sinBcosC+cosBsinC=(sinB+sinC)/(cosB+cosC
因为a/sinA=b/sinB=c/sinC所以-b/(2a+c)=-sinB/(2sinA+sinC)再问:麻烦写一下中间转化过程和约掉的东西。。3Q再答:a=ksinAb=ksinBc=ksinC
m⊥n=>m.n=0(2cos(C/2),-sinC).(cos(C/2),2sinC)=02(cosC/2)^2-2(sinC)^2=0(2(cosC/2)^2-1)-2(sinC)^2+1=0co
sinC-√3/2+√3cosC-2sinCcosC=0(sinC-√3/2)-2cosC(sinC-√3/2)=0(sinC-√3/2)(cosC-1/2)=0∴sinC=√3/2或cosC=1/2
(cosA-2cosC)/cosB=(2sinC-sinA)/sinBsinBcosA-2sinBcosC=2cosBsinC-cosBsinA2sinBcosC+2cosBsinC=sinBcosA
正弦定理得:a:b:c=sinA:sinB:sinC=2:3:4设:a=2k,b=3k,c=4kcosC=(a^2+b^2-c^2)/(2ab)=(4k^2+9k^2-16k^2)/(2*2k*3k)
cosa+cosb+cosc=sina+sinb+sinc=0(cosa)^2=(cosb+cosc)^2=(cosb)^2+(cosc)^2+2*cosb*cosc.(1)(sina)^2=(sin
xsina+ycosa=A(x/Asina+y/Acosb)=A(cosbsina+sinbcosa)=Asin(a+b),其中A=√(x^2+y^2),b=arctan(y/x)所以,这种题首先要除
1.sinC+cosC化成半角,2sinc/2cosc/2+1-2sinc/2sinc/2原式化为cosC/2-sinC/2=0两边平方,得到1-sinC=0即sinC=12.条件不足,看看题是否写错
A+B=180-C所以原式=cos(180-C)=-cosC选B再问:为什么A+B=180-C呢?再答:三角形内角和=?度
2cosc/2的是这啊~这不是直接约了啊成为COSC如果题这是这样我再给你说
1向量点乘公式(X1,Y1)点乘(X2,Y2)=X1X2+Y1Y2故cos^2C-sin^2B-sinbsinc=cos^2A然后,你这没有问题啊?我猜是三角,接下来的可能变形是首先全变sin这是能做
(1)sinC+cosC=1-sinC/2,移项得sinC-sinC/2=1-cosC由二倍角公式得2sinC/2cosC/2-sinC/2=2(sinC/2)^2因为sinC/2≠0,所以两边消去s
由sinc+cosc=2sina平方可得1+2sinc*cosc=4sin^2a因sinc*cosc=sin^2b所以1+2sin^2b=4sin^2a2-4sin^2a=1-2sin^2b2cos2
∵sinA-sinC=sinB,cosA+cosC=cosB,∴sinC=sinA-sinB,cosC=cosB-cosA,又sin2C+cos2C=1,∴(sinA-sinB)2+(cosB-cos