Solve for f (complex solution)
\left\{\begin{matrix}f=\frac{\arctan(\frac{\sin(x)}{\cos(x)+1})}{x}\text{, }&x\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=2\pi n_{1}+\pi \\f\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for f
\left\{\begin{matrix}f=\frac{\arctan(\tan(\frac{x}{2}))}{x}\text{, }&x\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=2\pi n_{1}+\pi \\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
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xf=\arctan(\frac{\sin(x)}{\cos(x)+1})
The equation is in standard form.
\frac{xf}{x}=\frac{\arctan(\frac{\sin(x)}{\cos(x)+1})}{x}
Divide both sides by x.
f=\frac{\arctan(\frac{\sin(x)}{\cos(x)+1})}{x}
Dividing by x undoes the multiplication by x.
xf=\arctan(\frac{\sin(x)}{\cos(x)+1})
The equation is in standard form.
\frac{xf}{x}=\frac{\arctan(\frac{\sin(x)}{\cos(x)+1})}{x}
Divide both sides by x.
f=\frac{\arctan(\frac{\sin(x)}{\cos(x)+1})}{x}
Dividing by x undoes the multiplication by x.
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