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If A+B+C=180^(@), (sin 2A+sin 2B+sin2C)/...

If `A+B+C=180^(@), (sin 2A+sin 2B+sin2C)/(sinA+sinB+sinC)=k sin. (A)/(2) sin. (B)/(2) sin. (C)/(2)` then the value of `3k^(3)+2k^(2)+k+1` is equal to

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