Published by:
CGP EDU Academic Team
Published on: August 14, 2026
tan –1 n, tan –1 (n + 1) and tan –1 (n + 2), n ∈ N, are angles of a triangle if n ...........
Text Solution
Verified by ExpertsThe correct answer is:
1
(1)
tan –1 n + tan –1 (n + 1) + tan –1 (n + 2) = π
tan –1 n + π + tan –1 
= π
tan –1 n + π – tan –1 
= π
= 
n 3 + 3n 2 – n – 3 = 0
as n ∈ N
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