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JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1
If tan⁡−1n,tan⁡−1(n+1)\tan ^{-1} \mathrm{n}, \tan ^{-1}(\mathrm{n}+1) and tan⁡−1(n+2),n∈N\tan ^{-1}(n+2), \mathrm{n} \in \mathbb{N}, are angles of a triangle, then find n\mathrm{n}.
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Correct option: A
1
Option A (1) is correct because when n=1, the angles are tan-1(1), tan-1(2), and tan-1(3), which can be angles of a triangle.

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