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求证(sinA)^2-(sinB)^2=sin(A+B)sin(A-B)
求证(sinA)^2-(sinB)^2=sin(A+B)sin(A-B)
人气:463 ℃ 时间:2020-04-10 09:49:08
解答
sin(A+B)sin(A-B)=(sinAcosB+cosAsinB)(sinAcosB-cosAsinB)=(sinA)^2 (cosB)^2 -(cosA)^2 (sinB)^2=(sinA)^2 (1-sinB^2)-(cosA)^2 (1-cosB^2)=(sinA)^2 -(sinA)^2 (sinB)^2-(sinB)^2+(sinA)^2 (sinB)^2=(sinA)^2-(si...
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