Solve for a
a=\frac{x}{\left(\cos(x)\right)^{3}}
\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}
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a\left(\cos(x)\right)^{3}=x
Swap sides so that all variable terms are on the left hand side.
\left(\cos(x)\right)^{3}a=x
The equation is in standard form.
\frac{\left(\cos(x)\right)^{3}a}{\left(\cos(x)\right)^{3}}=\frac{x}{\left(\cos(x)\right)^{3}}
Divide both sides by \left(\cos(x)\right)^{3}.
a=\frac{x}{\left(\cos(x)\right)^{3}}
Dividing by \left(\cos(x)\right)^{3} undoes the multiplication by \left(\cos(x)\right)^{3}.
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