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在三角形ABC中.A.B.C成等差数列,且COSC=12/13 求sinA
人气:443 ℃ 时间:2020-04-01 09:57:31
解答
A.B.C成等差数列,则
2B=A+C
而A+B+C=π
则B=π/3
A+C=2π/3
A=2π/3-C
sinA=sin(2π/3-C)=sin2π/3cosC-cos2π/3sinC
COSC=12/13
则sinA=√(1-(cosC)^2)=5/13 ,(A
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