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If $\cos A + \cos B + \cos C = 0$ then $\cos 3 A + \cos 3 B + \cos 3 C$ is equal to

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cos⁡Acos⁡Bcos⁡C

12cos⁡Acos⁡Bcos⁡C

8cos3⁡Acos3⁡Bcos3⁡C

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detailed solution

Correct option is B

We have,cos⁡A+cos⁡B+cos⁡C=0cos3⁡A+cos3⁡B+cos3⁡C=3cos⁡Acos⁡Bcos⁡Ccos⁡3A+3cos⁡A4+cos⁡3B+3cos⁡B4+cos⁡3C+3cos⁡C4⇒ cos⁡3A+cos⁡3B+cos⁡3C=12cos⁡Acos⁡Bcos⁡C

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If cos⁡A+cos⁡B+cos⁡C=0 then cos⁡3A+cos⁡3B+cos⁡3C is equal to

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If $\cos A + \cos B + \cos C = 0$ then $\cos 3 A + \cos 3 B + \cos 3 C$ is equal to