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Q. If $cot\left(\right.\theta +\alpha \left.\right),3cot\theta ,cot\left(\right.\theta -\alpha \left.\right)$ are in $AP,$ then value of $\frac{sin^{2} \theta }{sin^{2} \alpha },$ wherever defined, is

NTA AbhyasNTA Abhyas 2022

Solution:

$x\Rightarrow a+b-x$