已知sinα是方程5x^2-7x-6=0的根,且α为第三象限角 求:
问题描述:
已知sinα是方程5x^2-7x-6=0的根,且α为第三象限角 求:
sin(α+3/2*π)*sin(3/2*π-α)*tan^2(2π-α)*tan(π-α)÷cos(π-α)*cos(π/2+α)
答
5x^2-7x-6=0(5x+3)(x-2)=0x1=-3/5,x2=2sinα是方程5x^2-7x-6=0的根sinα≠2∴sinα=-3/5sin(α+3/2*π)*sin(3/2*π-α)*tan^2(2π-α)*tan(π-α)÷【cos(π-α)*cos(π/2+α)】= -cosα * (-cos...