化简cos2x/sin(x+π/4)急!

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化简cos2x/sin(x+π/4)急!

化简cos2x/sin(x+π/4)急!
化简cos2x/sin(x+π/4)急!

化简cos2x/sin(x+π/4)急!
sin(x+π/4)= (√2/2)(sinx+cosx)
cos 2x = (cosx)^2-(sinx)^2
cos2x /sin(x+π/4)= (√2)(cosx-sinx) = 2 cos(x+π/4)