Solve f(x)=frac{sinx+operatorname{ch}x}{sinx}

$$f ( x ) = \frac { \sin x + \operatorname { ch } x } { \sin x }$$

Solve for f

$$f=\frac{\sin(x)+chx}{x\sin(x)}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xf=\frac{\sin(x)+chx}{\sin(x)}$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{\sin(x)+chx}{\sin(x)x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{\sin(x)+chx}{\sin(x)x}$$

Divide \frac{\sin(x)+chx}{\sin(x)} by x.

$$f=\frac{ch}{\sin(x)}+\frac{1}{x}$$

Solve for c

$$\left\{\begin{matrix}c=\frac{\left(fx-1\right)\sin(x)}{hx}\text{, }&h\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}\\c\in \mathrm{R}\text{, }&f=\frac{1}{x}\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}\text{ and }h=0\end{matrix}\right.$$