If $\tan 15^\circ +\frac{1}{\tan 75^\circ }+\frac{1}{\tan 105^\circ }+\tan {195}^{^\circ }=2a,$ then the value of $\left(a+\frac{1}{a}\right)$ is equal to [JEE Main 2023, 30 Jan (Shift 1)]

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If \(\tan 15^\circ +\frac{1}{\tan 75^\circ }+\frac{1}{\tan 105^\circ }+\tan {195}^{^\circ }=2a,\) then the value of \(\l…

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