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Prove that in triangle ABC, sin A+sin B+...

Prove that in triangle ABC, sin `A+sin B+Cle(3sqrt(3))/(2)`

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Graph of y = sin x is concave downward
`(sinA+sinB+sinC)/(3)lesin(a+B+C)/(3)`
`rArr (sinA+sinB+sinC)/(3)lesin(pi)/(3)`
`rArr sinA+sinB+sinCle(3sqrt(3))/(2)`
Here equality hlods when a=B =C.
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