\(\begin{array}{l}
DK:\,\cos x \ne 0\\
Đặt\,\,\,\cos x - \dfrac{1}{{\cos x}} = t\\
\Rightarrow {t^2} = {\cos ^2}x + \dfrac{1}{{{{\cos }^2}x}} - 2\\
\Rightarrow {\cos ^2}x + \dfrac{1}{{{{\cos }^2}x}} = {t^2} + 2\\
Ta\,co\,\,pt:\,\,\,\,{t^2} + 2 = 2t\\
\Leftrightarrow {t^2} - 2t + 2 = 0\,\,\left( {VN} \right)
\end{array}\)