在三角形ABC中,a,b,c分别是角A,B,C的对边,若c.CosB=b.CosC,且CosA=2⼀3,则SinB等于?

2025-01-21 12:09:13
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回答1:

∵m⊥n∴ 2m丶n=2sinB ×2sin^2(π/4+B/2)+(2-cos2B)×(-1)=0即2sinB ×2sin^2(π/4+B/2)+(2-cos2B)×(-1)=2sinB×2×[(1-cos(B+π/2)/2]=2sinB+2sin^2B+1-2sin^2-2=2sinB-1=0∴ sinB=1/2∴B=30°