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(sinA+sinB)/(sinA-sinB)=tan((A+B)/2)cot(...

`(sinA+sinB)/(sinA-sinB)`=`tan((A+B)/2)cot((A-B)/2)`

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Prove that ((cos A+cos B)/(sinA-sinB))^(n)+((sinA+sinB)/(cos A-cosB))^(n) =2cot^(n)""(A-B)/(2) or 0, accordingly as n is even or odd.

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