sin(a+b)cosa-1/2[sin(2a+b)-sinb]化简= =数学吃不消了 又来骚扰了

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sin(a+b)cosa-1/2[sin(2a+b)-sinb]化简= =数学吃不消了 又来骚扰了
sin(a+b)cosa-1/2[sin(2a+b)-sinb]化简
= =数学吃不消了 又来骚扰了

sin(a+b)cosa-1/2[sin(2a+b)-sinb]化简= =数学吃不消了 又来骚扰了
sin(a+b)cosa-1/2[sin(2a+b)-sinb]
=(sinacosb+cosasinb)cosa-1/2(sin2acosb+cos2asinb-sinb)
和差公式,全部打开
=sinacosacosb+cos²asinb-1/2(2sinacosacosb+(2cos²a-1)sinb-sinb)
二倍角公式打开
=sinacosacosb+cos²asinb-1/2(2sinacosacosb+2cos²asinb-sinb-sinb)
依次化简
=sinacosacosb+cos²asinb-sinacosacosb+cos²asinb-sinb
=-sinb

化简sin(a+B)cosa-1/2[ sin(2a+B)-sinB].过程谢谢 已知(cosA)^2-(cosB)^2=1,则sin(A+B)*sin(A-B)=?谢谢 已知(cosA)^2-(cosB)^2=1,则sin(A+B)*sin(A-B)=? 求证:cosA°sinB°=1/2【sin(A+B)°-sin(A-B)°】 已知sinA=1/5,求2sin(A+B)cosA-sin(2A+B) 求证:sin(a+b)cosa-(1/2)[sin(2a+b)-sinb]=sinb 求证cosa*sinb=1/2[sin(a+b)-sin(a-b)] 三角形ABC中证明 COSA+COSB+COSC=1+4SIN(A/2)*SIN(B/2)*SIN(C/2) 三角形ABC中证明 COSA+COSB+COSC=1+4SIN(A/2)*SIN(B/2)*SIN(C/2) 求证:1/2(cos2B-cos2A)=sin(A+B)sin(A-B)(一定要从1/2(cos2B-cos2A)推到sin(A+B)sin(A-B)不可以像这样:/2(cos2B-cos2A)=1/2[2(cosB)^2-1-2(cosA)^2+1]=(cosB)^2-(cosA)^2sin(A+B)sin(A-B)=(sinAcosB+cosAsinB)(sinAcosB-cosAsinB)=(sinAcosB)^2-( 1、已知sina+cosb+4/5,cosa+sinb+3/5,求sin(a+b),sin(a-b)2、sina+sinb+4/5,cosa+cosb=3/5,求tan(a+b)及sin(a-b) 已知sin^a+sin^b+sin^c=1(a、b、c均为锐角),那么cosa*cosb*cosc= 不好意思是cosa*cosb*cosc的最大值, Rt三角形中 角c等于九十度 求证 sin^2A?tanA+sin^2B?tanB=1-2sin^2A?sin^2B/cosA?cosB 证明cosA+cosB+cosC=1+4sin(A/2)sin(B/2)sin(C/2)证明:cosA+cosB+cosC=1+4sin(A/2)sin(B/2)sin(C/2)尽量详细一点选做cosA+cosB+cosC=1+4sin(A/2)sin(B/2)sin(C/2) cos(180-B-C)+cosB+cosC=1+2sin(A/2)[2sin(B/2)sin(C/2)] cos(180-B-C)+cosB+cosC cosA+cos^2A=1,sin^2A+sin^4A+sin^8A sina+cosb=1/3 sinb-cosa=1/2 则sin(a-b)=? 在△ABC中,2sin²A=3sin²B+3sin²C,并且cos2A+3cosA+3(B-C)=1,求三角形的三边之比∵2sin²A=3sin²+3sin²C,又A=π-(B-C),∴cosA=cos{π-(B+C)}=-cos(B+C)∴cos2A+3cosA+3cos(B-C)=1-2sin²A+3 证明sin^2a+sin^2β+1>sina*cosa+sina+sinβ