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in Mathematics by (75.1k points)
Let `alphaa n dbeta` be nonzero real numbers such that `2(cosbeta-cosalpha)+cosalphacosbeta=1` . Then which of the following is/are true? `sqrt(3)tan(alpha/2)+tan(beta/2)=0` `sqrt(3)tan(alpha/2)-tan(beta/2)=0` `t a n""(alpha/2)+sqrt(3)tan(beta/2)=0` `t a n""(alpha/2)-sqrt(3)tan(beta/2)=0`
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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