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Previous Year Question (PYQs)
3
$ \alpha = \tan\left(\frac{5\pi}{16} \sin\left(2\cos^{-1}\left(\frac{1}{\sqrt{5}}\right)\right)\right) $
$ \beta = \cos\left(\sin^{-1}\left(\frac{4}{5}\right) + \sec^{-1}\left(\frac{5}{3}\right)\right) $
where the inverse trigonometric functions take principal values.
Then, the equation whose roots are $ \alpha $ and $ \beta $ is :
Solution
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