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在《数学通报》2008年第12期数学问题解答栏中,命题者在给出了1764号题的证明之后指出,可能得到:在ΔABC中,有8(1-cos A)(1-cos B)(1-cos C)≥cos(A-B)cos(B-C)cos(C-A)≥8cos Acos Bcos C.
In the Mathematics Problem Solving column of the 12th issue of Mathematics Bulletin 2008, the proponent, after giving the proof of Question 1764, pointed out that it is possible to find that in ΔABC there is 8 (1-cos A) (1-cos B ) (1-cos C) ≥ cos (AB) cos (BC) cos (CA) ≥ 8 cos Acos Bcos C.