The number of values of satisfying the condition sin x + sin 5x = sin 3x in the interval [0, π] is

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answer is A.

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Detailed Solution

2sin⁡3xcos⁡2x=sin⁡3x⇒sin⁡3x(2cos⁡2x−1)=0⇒sin⁡3x=0 or 2cos⁡2x=1⇒x=0, π/3, 2π/3, π or x=π/6, 5π/6 as x∈[0, π]

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