Question

已知函数a,b均不为0.asinx+bcosx/acosx-bsinx=tanz,且,z-x=π/6,则b/a=

Answer 1

若cosx≠0,分子分母同时除以acosx,则 _________=tan(x+π/6)=__________

1-(b/a)tanx 1-(√3/3)tanx

∴b/a=√3/3

若cosx=0,x=π/2 +kπ,a/-b=-tan(π/6+π/2+kπ)=-tan(π/6),∴b/a=√3