Sin(120°-B/2)+Sin(60°-B/2)=2SinB,求SinB最后答案等于8分之根号39或者:根号3COS B/2=2SIN B 我求到这了

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Sin(120°-B/2)+Sin(60°-B/2)=2SinB,求SinB最后答案等于8分之根号39或者:根号3COSB/2=2SINB我求到这了Sin(120°-B/2)+Sin(60°-B/2)

Sin(120°-B/2)+Sin(60°-B/2)=2SinB,求SinB最后答案等于8分之根号39或者:根号3COS B/2=2SIN B 我求到这了
Sin(120°-B/2)+Sin(60°-B/2)=2SinB,求SinB
最后答案等于8分之根号39
或者:根号3COS B/2=2SIN B 我求到这了

Sin(120°-B/2)+Sin(60°-B/2)=2SinB,求SinB最后答案等于8分之根号39或者:根号3COS B/2=2SIN B 我求到这了
√3cos(B/2)=2sinB
2sinB=4sin(B/2)cos(B/2)
左右的cos(B/2)抵消得
sin(B/2)=√3/4
cos(b/2)=√13/4
sinB=2sin(B/2)cos(B/2)=√39/8

3 在三角形ABC中,已知(a2+b2)sin(A-B)=(a2-b2)sin(A+B) 求证:ABC是等腰或直角三角形(a^2+b^2)sin(A-B)=(a^2-b^2)sin(A+B),(sin^A+sin^B)sin(A-B)=(sin^A-sin^B)sin(A+B) sin^A*(sin(A+B)-sin(A-B))=sin^B*(sin(A-B)+sin(A+B)) sin^A*2c Sin(120°-B/2)+Sin(60°-B/2)=2SinB,求SinB最后答案等于8分之根号39或者:根号3COS B/2=2SIN B 我求到这了 化简(sin(a-b)-2sin a cos b)/2sin a sin b +coa(a+b) 在△ABC中,求证;sin^(A/2)+sin^(B/2)+sin^(C/2)=1-2sin(A/2)sin(B/2)sin(C/2) sin²20°+sin80°sin40°且sin(a+b)sin(a-b)=sin^2a-sin^2b 【证明】Sin A+sin B=2Sin 22 证明sin(a+b)sin(a-b)=sin^2 a-sin^2 b, 求证:sin(a+b)sin(a-b)=sin^2a-sin^2b 已知sin(a)=2sin(b)求sin(a/2)/sin(b/2)的值. 在△ABC中,若sin²A+sin²B=2sin²C,则角C为 A.钝角 B.直角 C.锐角 D.60° 化简:sin(x+60°)+2sin(x-60°)-√3cos(120°-x)= 1:sin(a-b)=sin(-b+a)2:sin(a-b)=sin(-(b-a)),这个为什么是这样的?知识点忘了. 求证:cosA°sinB°=1/2【sin(A+B)°-sin(A-B)°】 在△ABC中,sin^2A+sin^2B=2sin^2C,则角C的范围希望不要直接套60° 证明(sinα)^2+(sin(120°-α))^2-2sinαsin(120°-α)cos60°=(sin60°)^2证明(sinα)^2+(sin(120°-α))^2-2sinαsin(120°-α)cos60°=(sin60°)^2 已知△ABC中,三内角满足sin^2 B+sin^2 C-sinBsinC=sin^2 A,则A=?60° 为什么sin(a+b)-sina=2sin(b/2)cos(a+b/2) 需运用正弦或余弦定理的数学题1.在三角形ABC中,已知,(Sin^2 A+ Sin^2 B- Sin^2 C)/ (Sin^2A- Sin^2B+ Sin^2C)=(1+COS 2C)/(1+COS 2C) 求证:三角形为等腰三角形或直角三角形 2.在上三角形ABC中,C=60度 则 a/(b+c)+b