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sin $x,$ sin $2 x, \sin 3 x$ are in A.P. if

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x = 165°

x = 195°

x = 15°

x=2nπ n∈I.

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Correct option is D

sin⁡x,sin⁡2x,sin⁡3x are in A.P. If 2sin⁡2x=sin⁡x+sin⁡3x=2sin⁡2xcos⁡x or if 2sin⁡2x(1−cos⁡x)=0 or if either sin⁡2x=0 or cos⁡x=1 which is satisfied by x=2nπ for which cos⁡x=1

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sin x, sin 2x, sin 3x are in A.P. if

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sin $x,$ sin $2 x, \sin 3 x$ are in A.P. if