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$I f x_{i} > 0, 1 \leq i \leq n, and x_{1} + x_{2} + x_{3} \dots + x_{n} = π$ , then the greatest value of $\sin x_{1} + \sin x_{2} + \sin x_{3} + ... + \sin x_{n} =$

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Correct option is C

We have sinx1+sinx2+sinx3+….+sinxnn ≤sinx1+x2+x3+….+xnn since sin is concave in 0,π ≤sinπn ∵x1+x2+x3+….+xn=π⇒sinx1+sinx2+sinx3+….+sinxn≤nsinπn

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If xi>0, 1≤i≤n, and x1+x2+x3…+xn=π, then the greatest value of sinx1+sinx2+sinx3+...+sinxn=

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free study material

$I f x_{i} > 0, 1 \leq i \leq n, and x_{1} + x_{2} + x_{3} \dots + x_{n} = π$ , then the greatest value of $\sin x_{1} + \sin x_{2} + \sin x_{3} + ... + \sin x_{n} =$