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Let alphaa n dbeta be nonzero real numbe...

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

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B, C
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