Solve for z
z=\cot(x)
\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}
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z\sin(x)=\cos(x)
Swap sides so that all variable terms are on the left hand side.
\sin(x)z=\cos(x)
The equation is in standard form.
\frac{\sin(x)z}{\sin(x)}=\frac{\cos(x)}{\sin(x)}
Divide both sides by \sin(x).
z=\frac{\cos(x)}{\sin(x)}
Dividing by \sin(x) undoes the multiplication by \sin(x).
z=\cot(x)
Divide \cos(x) by \sin(x).
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