已知(1-cosx+sinx)/(1+cosx+sinx)=-2,求sinx的值?

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已知(1-cosx+sinx)/(1+cosx+sinx)=-2,求sinx的值?已知(1-cosx+sinx)/(1+cosx+sinx)=-2,求sinx的值?已知(1-cosx+sinx)/(1

已知(1-cosx+sinx)/(1+cosx+sinx)=-2,求sinx的值?
已知(1-cosx+sinx)/(1+cosx+sinx)=-2,求sinx的值?

已知(1-cosx+sinx)/(1+cosx+sinx)=-2,求sinx的值?
(1 - cosx + sinx)/(1 + cosx + sinx) = -2 1 - cosx + sinx = -2 - 2cosx - 2sinx 3sinx + 3 = cosx 3(sinx + 1) = √[1 - (cosx)^2] (sinx)^2 + 1.8sinx + 0.8 = 0 (sinx + 0.9)^2 = 0.01 sinx1 = -0.8 sinx2 = -1【sinx = -1,则cosx = 0,舍去】