sin^2A+sin^2B+sin^2C小于2是什么三角形
我要具体的过程啊
人气:249 ℃ 时间:2020-06-02 04:25:11
解答
sin^2A+sin^2B+sin^2C < 2∴1 < 3 -(sin^2A+sin^2B+sin^2C)∴2 < 3 +[1-2(sinA)^2]+[1-2(sinB)^2]+[1-2(sinC)^2]∴2 < 3 + [cos(2A)+cos(2B)+cos(2C)]∴2 < 3 + [2cos(A+B)cos(A-B) + cos(2C)] ∴0 < 2cos(A+B)cos(A...
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