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Let alpha and beta be nonzero real numb...

Let `alpha and beta` be nonzero real numbers such that `2(cosbeta−cosalpha)+cosalpha cosbeta =1` . Then which of the following is/are true? (a) `sqrt 3 tan(alpha/2)+tan(beta/2)=0` (b) `sqrt3 tan(alpha/2)−tan(beta/2)=0` (c) `tan(alpha/2)+sqrt3tan(beta/2)=0` (d) `tan(alpha/2)−sqrt 3tan(beta/2)=0`

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