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Published on: August 14, 2026
It is given that A = (tan –1 x) 3 + (cot –1 x) 3 , where x > 0 & B = (cos –1 t) 2 + (sin –1 t) 2 , where t ∈ 
& sin –1 x + cos –1 x = 
for –1 ≤ x ≤ 1 & tan –1 x + cot –1 x = 
∀ x ∈ R
(i) The interval in which A lie is
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(i)
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