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xf=4\cos(x-\frac{\pi }{4})
The equation is in standard form.
\frac{xf}{x}=\frac{4\cos(\frac{4x-\pi }{4})}{x}
Divide both sides by x.
f=\frac{4\cos(\frac{4x-\pi }{4})}{x}
Dividing by x undoes the multiplication by x.