Let a 1 = 1, a 2 , a 3 , a 4 , ...... be consecutive natural numbers. Then ^ -1 ( 1 1+a_…
Mathematics · JEE Main · NTA Exams — Trigonometry
Let a1 = 1, a2, a3, a4, ...... be consecutive natural numbers.
Then \(\tan ^{-1}\left(\frac{1}{1+a_{1} a_{2}}\right)+\tan ^{-1}\left(\frac{1}{1+a_{2} a_{3}}\right)+\ldots .\)
\(+\tan ^{-1}\left(\frac{1}{1+a_{2021} a_{2022}}\right)\) is equal to
Then \(\tan ^{-1}\left(\frac{1}{1+a_{1} a_{2}}\right)+\tan ^{-1}\left(\frac{1}{1+a_{2} a_{3}}\right)+\ldots .\)
\(+\tan ^{-1}\left(\frac{1}{1+a_{2021} a_{2022}}\right)\) is equal to
Answer
(D)
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