懂的来.已知cos(α-β)cosα-sin(β-α)sinα=-3/5,β是第三象限角,求cos(β-5/4π)的值

cos(α-β)cosα-sin(β-α)sinα=-3/5cos(β-α)cosα-sin(β-α)sinα=-3/5cos(β-α+α)=-3/5cosβ=-3/5β是第三象限角那么sinβ=-4/5cos(β-5/4π)=cosβcos(5/4π)+sinβsin(5/4π)=-3/5*(-√2/2)+(-4/5)*(-√2...