12. IF 1/SinA+1/CosA=1/SinB+1/CosB ,PROVE THAT: Cot{(A+B)/2}=TanA.TanB

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Hmmm. If 1/SinA+1/CosA=1/SinB+1/CosB it would seem that A=B
I suspect a typo.
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