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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)/(2)tan""(beta)/(2)+tan""(beta)/(2)+tan""(gamma)/(2)tan""(gamma)/(2)tan""(alpha)/(2)=1`

C

`tan""(alpha)/(2)tan""(beta)/(2)+tan""(gamma)/(2)+=-tan""(alpha)/(2)tan""(beta)/(2)tan""(gamma)/(2)`

D

`tan""(alpha)/(2)tan""(beta)/(2)+tan""(beta)/(2)tan""(gamma)/(2)+tan""(gamma)/(2)tan""(alpha)/(2)=0.`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  6. If 2cos""(A)/(2)=sqrt(1+sinA)+sqrt(1-sinA), thenA/2 iles between,

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