5sin2α=sin2,则tan(α+1)÷tan(α-1)的值是?

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5sin2α=sin2,则tan(α+1)÷tan(α-1)的值是?5sin2α=sin2,则tan(α+1)÷tan(α-1)的值是?5sin2α=sin2,则tan(α+1)÷tan(α-1)的值

5sin2α=sin2,则tan(α+1)÷tan(α-1)的值是?
5sin2α=sin2,则tan(α+1)÷tan(α-1)的值是?

5sin2α=sin2,则tan(α+1)÷tan(α-1)的值是?
5sin2a=sin2° 5sin[(a+1)+ (a-1)]=sin[(a+1) -(a-1)] 5sin(a+1)cos(a-1)+5cos(a+1)sin(a-1) =sin(a+1)cos(a-1)-cos(a+1)sin(a-1) 4sin(a+1)cos(a-1)=-6cos(a+1)sin(a-1) 两边除以cos(a-1)cos(a+1):4tan(a+1°)=-6tan(a-1°) [tan(a+1°)]/[tan(a-1°)]=-6/4=-3/2.