高一数学第20题求解
1个回答
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mn=√3sinA-cosA=1
√3/2sinA-1/2cosA=1/2
sin(A-π/6)=1/2
A-π/6=π/6或A-π/6=5π/6
A=π/3或A=π(舍去)
A=π/3
2)(1+sin2B)/(cos^2B-sin^2B)=-3
(cosB+sinB)^2/(cosB+sinB)(cosB-sinB)=-3
(cosB+sinB)/(cosB-sinB)=-3
cosB+sinB=-3(cosB-sinB)
2sinB=4cosB
tanB=2
√3/2sinA-1/2cosA=1/2
sin(A-π/6)=1/2
A-π/6=π/6或A-π/6=5π/6
A=π/3或A=π(舍去)
A=π/3
2)(1+sin2B)/(cos^2B-sin^2B)=-3
(cosB+sinB)^2/(cosB+sinB)(cosB-sinB)=-3
(cosB+sinB)/(cosB-sinB)=-3
cosB+sinB=-3(cosB-sinB)
2sinB=4cosB
tanB=2
追问
求的是tanc
追答
tanc=-(tanB+tanA)/(1-tanBtanA)=-(2+√3)/(1-2√3)=(8+5√3)/11
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