-cosx+sinx=根号下2sin(x+α),则tanα的值为

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-cosx+sinx=根号下2sin(x+α),则tanα的值为
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-cosx+sinx=根号下2sin(x+α),则tanα的值为
-cosx+sinx=根号下2sin(x+α),则tanα的值为

-cosx+sinx=根号下2sin(x+α),则tanα的值为
sinx-cosx=√2(√2/2*sinx-√2/2cosx)
=√2(sinxcosπ/4-cosxsinπ/4)
=√2sin(x-π/4)
所以原式=tan(-π/4)=-1