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If alpha + beta + gamma = 2pi, then...

If `alpha + beta + gamma = 2pi`, then

A

`tan alpha/2 + tan beta/2 + tan gamma/2 = tan alpha/2 tan beta/2 tan gamma/2`

B

`tan alpha/2tan beta/2 + tan beta/2 tan gamma/2 + tan gamma/2 tan alpha/2=1`

C

`tan alpha/2 + tanbeta/2 + tan gamma/2 =-tan alpha/2 tan beta/2 tan gamma/2`

D

`sum tan(alpha/2) tan(beta/2)=-1`

Text Solution

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The correct Answer is:
A
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