trigonometry

Question: If $\alpha +\beta +\gamma =2\pi ,$ then [IIT 1979]



1) $\tan \frac{\alpha }{2}+\tan \frac{\beta }{2}+\tan \frac{\gamma }{2}=\tan \frac{\alpha }{2}\tan \frac{\beta }{2}\tan \frac{\gamma }{2}$
2) $\tan \frac{\alpha }{2}\tan \frac{\beta }{2}+\tan \frac{\beta }{2}\tan \frac{\gamma }{2}+\tan \frac{\gamma }{2}\tan \frac{\alpha }{2}=1$
3) $\tan \frac{\alpha }{2}+\tan \frac{\beta }{2}+\tan \frac{\gamma }{2}=-\tan \frac{\alpha }{2}\tan \frac{\beta }{2}\tan \frac{\gamma }{2}$
4) None of these
Solution: Explanation: No Explanation
Maximum & minimum values of trigonometric functions Conditional trigonometric identities

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