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CGP EDU Academic Team
Published on: August 14, 2026
If equation cot 4 x – 2cosec 2 x + a 2 = 0 has at least one solution then, sum of all possible integral values of a is
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Sol. cot 4 x – 2(1 + cot 2 x) + a 2 = 0
cot 4 x – 2cot 2 x + a 2 – 2 = 0
(cot 2 x – 1) 2 = 3 – a 2 to have at least one solution 3 – a
2 ≥ 0
a ∈ [– 
, 
]
∴ integer values of a = – 1, 0, 1
∴ sum = 0
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