Solve f(x)=1/sin^2alpha

$$f ( x ) = \frac { 1 } { \sin ^ { 2 } \alpha }$$

Solve for f (complex solution)

$$f=-\frac{2}{x\left(\cos(2\alpha )-1\right)}$$

$$x\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\alpha =\pi n_{1}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xf=\frac{1}{\left(\sin(\alpha )\right)^{2}}$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{1}{\left(\sin(\alpha )\right)^{2}x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{1}{\left(\sin(\alpha )\right)^{2}x}$$

Divide \frac{1}{\left(\sin(\alpha )\right)^{2}} by x.

$$f=\frac{1}{x\left(\sin(\alpha )\right)^{2}}$$

Solve for x (complex solution)

$$x=-\frac{2}{f\left(\cos(2\alpha )-1\right)}$$

$$f\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\alpha =\pi n_{1}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$fx=\frac{1}{\left(\sin(\alpha )\right)^{2}}$$

Divide both sides by f.

$$\frac{fx}{f}=\frac{1}{\left(\sin(\alpha )\right)^{2}f}$$

Dividing by f undoes the multiplication by f.

$$x=\frac{1}{\left(\sin(\alpha )\right)^{2}f}$$

Divide \frac{1}{\left(\sin(\alpha )\right)^{2}} by f.

$$x=\frac{1}{f\left(\sin(\alpha )\right)^{2}}$$

Solve for f

$$f=\frac{1}{x\left(\sin(\alpha )\right)^{2}}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }\alpha =\pi n_{1}\text{ and }x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xf=\frac{1}{\left(\sin(\alpha )\right)^{2}}$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{1}{\left(\sin(\alpha )\right)^{2}x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{1}{\left(\sin(\alpha )\right)^{2}x}$$

Divide \frac{1}{\left(\sin(\alpha )\right)^{2}} by x.

$$f=\frac{1}{x\left(\sin(\alpha )\right)^{2}}$$

Solve for x

$$x=\frac{1}{f\left(\sin(\alpha )\right)^{2}}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }\alpha =\pi n_{1}\text{ and }f\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$fx=\frac{1}{\left(\sin(\alpha )\right)^{2}}$$

Divide both sides by f.

$$\frac{fx}{f}=\frac{1}{\left(\sin(\alpha )\right)^{2}f}$$

Dividing by f undoes the multiplication by f.

$$x=\frac{1}{\left(\sin(\alpha )\right)^{2}f}$$

Divide \frac{1}{\left(\sin(\alpha )\right)^{2}} by f.

$$x=\frac{1}{f\left(\sin(\alpha )\right)^{2}}$$