1,cho tam giác ABC thỏa mãn b2=a2+ac và c2=b2+ba. Chứng minh các góc của tam giác lập thành cấp số nhân.
2,Chứng minh rằng : Với mọi tam giác ABC ta luôn có:
8cosAcosBcosC≤cos(C−A)cos(A−B)cos(B−C)
3,Cho tam giác ABC thỏa mãn: cotA/2+2cotB/2−23cotC/2=0. Tính GTNN của cosC

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