求化简下:f(x)=sin(x+π/4)+2sin(x-π/4)-4cos2x+3cos(x+3π/4)π:代表的是“派”不是n,看清楚了哦!

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求化简下:f(x)=sin(x+π/4)+2sin(x-π/4)-4cos2x+3cos(x+3π/4)π:代表的是“派”不是n,看清楚了哦!
求化简下:f(x)=sin(x+π/4)+2sin(x-π/4)-4cos2x+3cos(x+3π/4)
π:代表的是“派”不是n,看清楚了哦!

求化简下:f(x)=sin(x+π/4)+2sin(x-π/4)-4cos2x+3cos(x+3π/4)π:代表的是“派”不是n,看清楚了哦!
f(x)=sin(x+π/4)+2sin(x-π/4)-4cos2x+3cos(x+3π/4)
=√2/2sinx+√2/2cosx+√2sinx-√2cosx-3√2/2sinx+3√2/2cosx-4cos2x
=√2cosx-4cos2x
=-8cos^2x+√2cosx+4

-2*pi*(根号2)*cos(x)-4*cos(2x),还要化简么?