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Let alpha and beta be nonzero real numbe...

Let `alpha` and `beta` be nonzero real numbers such that `2(cosbeta-cosalpha)+cosalphacosbeta=1` . Then which of the following is/are true?

A

`tan((alpha)/(2))-sqrt(3) tan((beta)/(2))=0`

B

`sqrt(3)tan((alpha)/(2))-tan((beta)/(2))=0`

C

`tan((alpha)/(2))+ sqrt(3)tan((beta)/(2))=0`

D

`sqrt(3)tan((alpha)/(2))+tan((beta)/(2))=0`

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