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在三角形ABC中,若(tanA-tanB)/(tanA+tanB)=(c-b)/c,则角A为多少度
人气:470 ℃ 时间:2019-10-18 02:20:50
解答
(tanA-tanB)/(tanA+tanB) = 1 - 2tanB/(tanA+tanB)(c-b)/c = 1 - b/c1 - 2tanB/(tanA+tanB) = 1 - b/c2tanB/(tanA+tanB) = b/c由正弦定理得b/c = sinB/sin2tanB/(tanA+tanB) = sinB/sinC又因为tanA + tanB = (sinAco...
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