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If cos `(alpha - beta) + cos (beta - gamma) + cos (gamma - alpha) = (-3)/(2)` then prove that cos `alpha + cos beta+ cos gamma = sin alpha + sin beta + sin gamma = 0`.

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The correct Answer is:
Hence ` sqrt(3)` is an irrational number.
Hence proved.
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SURA PUBLICATION-SURAS MODAL QUESTION PAPER-1 MATHEMATICS -Section-IV
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  3. By the principle of mathematical induction , prove that for n ge 1

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  4. By the principle of mathematical induction, prove that, for nge1 1^(3)...

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