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The minimum value of the expression sin...

The minimum value of the expression `sin alpha + sin beta+ sin gamma`, where `alpha,beta,gamma` are real numbers satisfying `alpha+beta+gamma=pi` is

A

positive

B

zero

C

negative

D

-3

Text Solution

Verified by Experts

The correct Answer is:
C
For `alpha=-pi//2,beta=pi//2andgamma=2pi`
`sinalpha+sinbeta=singamma=-2`
Hence, the minimum value of the expression is negative.
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