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A Math Problem~FOR

分类: 作业答案 • 2022-02-09 15:04:42

问题描述：

A Math Problem~FOR
已知A∈(-π/2,π/2),lg(1+sinA)=m,lg(1/(1-sinA))=n
求lgcosA

答

lg(1+sinA)=m,lg(1/(1-sinA))=n lg(1/(1-sinA))=-lg(1-sinA)=nlg(1-sinA)=nlg(1+sinA)+lg(1-sinA)=lg[(1-sinA)(1+sinA)]=lg[(cosA)^2]=2lgcosA=m-nlgcosA=(m-n)/2

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A Math Problem~FOR

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