If $\theta \in \left[-\frac{7\pi }{6},\frac{4\pi }{3}\right]$, then the number of solutions of $\sqrt{3}{\csc }^{2}\theta -2(\sqrt{3}-1)\csc \theta -4=0$, is equal to [JEE Main 2025, 2 Apr (Shift 2)]

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If \(\theta \in \left[-\frac{7\pi }{6},\frac{4\pi }{3}\right]\), then the number of solutions of \(\sqrt{3}{\csc }^{2}\t…

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