Solve (sinθ)(tanθ)(sinθ)(x)=1

$$( \sin \theta ) ( \tan \theta ) ( \sin \theta ) ( x ) = 1$$

Solve for x

$$x=\frac{\cot(\theta )}{\left(\sin(\theta )\right)^{2}}$$

$$\exists n_{1}\in \mathrm{Z}\text{ : }\left(\theta >\frac{\pi n_{1}}{2}\text{ and }\theta <\frac{\pi n_{1}}{2}+\frac{\pi }{2}\right)$$

Steps for Solving Linear Equation

Multiply \sin(\theta ) and \sin(\theta ) to get \left(\sin(\theta )\right)^{2}.

$$\left(\sin(\theta )\right)^{2}\tan(\theta )x=1$$

The equation is in standard form.

$$\tan(\theta )\left(\sin(\theta )\right)^{2}x=1$$

Divide both sides by \left(\sin(\theta )\right)^{2}\tan(\theta ).

$$\frac{\tan(\theta )\left(\sin(\theta )\right)^{2}x}{\tan(\theta )\left(\sin(\theta )\right)^{2}}=\frac{1}{\tan(\theta )\left(\sin(\theta )\right)^{2}}$$

Dividing by \left(\sin(\theta )\right)^{2}\tan(\theta ) undoes the multiplication by \left(\sin(\theta )\right)^{2}\tan(\theta ).

$$x=\frac{1}{\tan(\theta )\left(\sin(\theta )\right)^{2}}$$

Divide 1 by \left(\sin(\theta )\right)^{2}\tan(\theta ).

$$x=\frac{\cot(\theta )}{\left(\sin(\theta )\right)^{2}}$$