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If cos A+cosB=1/2 and sin A+ sinB=1/4 ,...

If `cos A+cosB=1/2` and `sin A+ sinB=1/4` , prove that: `tan((A+B)/2)=1/2`

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If cos A+cos B=1/2 and sin A +sin B=1/4 then prove that tan ((A+B)/2)=1/2 .

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