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If (tanalpha+tanbeta)/(cot alpha+cot bet...

If `(tanalpha+tanbeta)/(cot alpha+cot beta)+{cos(alpha-beta)+1}^(-1)=1, then tan alpha tan beta` is equal to

A

1

B

`-1`

C

2

D

`-2`

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The correct Answer is:
A
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