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If ƒ(x) = cot x/ 1 + cot x and α + β = 5π/4, then the value of ƒ(α).ƒ(β) is

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If ƒ(x) = cot x/ 1 + cot x and  α  + β = 5π/4, then the value of ƒ(α).ƒ(β) is

(a)  2

(b)  - 1/2

(c)  1/2 

(d)  None of these

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Correct option   (c)  1/2

Explanation:

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