根据韦达定理
√3sinA+(-cosA)=1
2*[√3/2sinA-1/2*cosA]=1
2*[sinAcos30°-cosAsin30°]=1
2sin(A-30°)=1
sin(A-30°)=1/2
A-30°=30°或A-30°=150°
A=60°或A=180°(舍去)
所以A=60°
(1+2sinBcosB)/(cos^2B-sin^2B)=-3
(sinB+cosB)^2/(cosB-sinB)(cosB+sinB)=-3
(sinB+cosB)/(cosB-sinB)=-3(分子分母同时除以cosB)
(sinB/cosB+cosB/cosB)/(cosB/cosB-sinB/cosB)=-3
(tanB+1)/(1-tanB)=-3
tanB+1=3tanB-3
2tanB=4
tanB=2