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已知tanA tanB为3x^2+5x-7=0的两根
(sin(A+B))/(COS(A-B))
cos^2(A+B)
人气:265 ℃ 时间:2020-01-31 04:14:43
解答
(sin(A+B))/(COS(A-B))
=(sinAcosB+cosAsinB)/(cosAcosB+sinAsinB)
=(tanA+tanB)/(1+tanAtanB)
=(-5/3)/(1-7/3)
=5/4
tan(A+B)=(-5/3)(1+7/3)=-1/2
cos^2(A+B)=1/[1+(tan(A+B))^2]=1/(1+1/4)=4/5
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