question_answer

If \[\frac{\sqrt{2}\sin \alpha }{\sqrt{1+\cos 2\alpha }}=\frac{1}{7}\] and \[\sqrt{\frac{1-\cos 2\beta }{2}}=\frac{1}{\sqrt{10}}\], \[\alpha ,\beta \in \left( 0,\frac{\pi }{2} \right)\], then \[tan\left( \alpha +2\beta  \right)\] is equal to [JEE MAIN Held on 08-01-2020 Evening]

Answer:

01