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If cos alpha=(2cos beta-1)/(2-cos beta) ...

If `cos alpha=(2cos beta-1)/(2-cos beta)` then `tan (alpha/2)*cot (beta/2)` has the equal to [where `alpha,beta in (0,pi)`]

A

2

B

`sqrt(2)`

C

3

D

`sqrt(3)`

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The correct Answer is:
A
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