1.

In a \[\Delta ABC,\] if \[(\sin A+\sin B+\sin C)\] \[(\sin A+\sin B-\sin C)\] = \[3\sin A\sin B,\]then the angle C is equal to [AMU 1999]

A. \[\frac{\pi }{2}\]
B. \[\frac{\pi }{3}\]
C. \[\frac{\pi }{4}\]
D. \[\frac{\pi }{6}\]
Answer» C. \[\frac{\pi }{4}\]


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