若(cos2x)/[sin(x-π/4)]=-√2/2,则cosx+sinx的值为______

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若(cos2x)/[sin(x-π/4)]=-√2/2,则cosx+sinx的值为______
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若(cos2x)/[sin(x-π/4)]=-√2/2,则cosx+sinx的值为______
若(cos2x)/[sin(x-π/4)]=-√2/2,则cosx+sinx的值为______

若(cos2x)/[sin(x-π/4)]=-√2/2,则cosx+sinx的值为______
(cosx^2-sinx^2)/(sinx-cosx)=1,cosx+sinx=-1