Đk: \(x\ne\dfrac{\pi}{2}+k\pi\) \(,k\in Z\)
Pt \(\Leftrightarrow\dfrac{sinx}{cosx}-\sqrt{3}=\dfrac{1}{cosx}\)
\(\Leftrightarrow sinx-\sqrt{3}cosx=1\)
\(\Leftrightarrow sin\left(x-\dfrac{\pi}{3}\right)=\dfrac{1}{2}\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{\pi}{2}+k2\pi\\x=\dfrac{7\pi}{6}+k2\pi\end{matrix}\right.\),\(k\in Z\) kết hợp với đk \(\Rightarrow x=\dfrac{7\pi}{6}+k2\pi\), \(k\in Z\)
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