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If alpha, beta, gamma are three distinct...

If `alpha, beta, gamma` are three distinct real numbers such that `0 lt alpha, beta, gamma lt pi//2`, then `tan(alpha-beta)+tan(beta-gamma)+tan(gamma-alpha)` is equal to :

A

0

B

`-1`

C

1

D

none of these

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Verified by Experts

The correct Answer is:
d
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