Published by:
CGP EDU Academic Team
Published on: August 13, 2026
(1 – cot 1 º ) (1– cot2 º ) (1– cot3 º ) … (1 – cot 44 º ) = 2 n then n = 10 k + k. What is k
Text Solution
Verified by ExpertsThe correct answer is:
2
(2)
(1 – cot ° ) (1 – cot 44 ° ) = 1 – cot 1 ° – cot 44 ° + cot 1 ° cot 44 °
∴ cot 45 ° = cot (1 + 44) = 
= 1 – cot 1 ° – cot 44 ° + cot 1 ° cot 44 ° = 2
Similarly other pairs will give result Total pairs = 22
(1 – cot 1 ° ) (1 – cot 2 ° ) ……….. (1 – cot 44 ° ) = 2 22
∴ k = 2
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