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alpha, beta, gamma are real number satis...

`alpha, beta, gamma` are real number satisfying `alpha+beta+gamma=pi`. The minimum value of the given expression `sin alpha+sin beta+sin gamma` is

A

zero

B

`-3`

C

positive

D

negative

Text Solution

Verified by Experts

The correct Answer is:
A
Since `sin alpha + sin beta + sin gamma gt sin (alpha + beta + gamma)`
when `alpha + beta + gamma = pi`
`therefore sin alpha + sin beta + sin gamma gt 0`
`therefore` The minimum value of `sin alpha + sin beta + sin gamma` is always positive.
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