Solve sin2x-sin4x +sin6x=0

Chris Perkins asked Apr 13, 2023

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Chris Perkins asked Apr 13, 2023

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10 votes

Remember that

$\sin 2\theta=2\sin \theta\cos \theta$

Therefore,

$\begin{gathered} \sin 2x-\sin 4x+\sin 6x=0 \\ \Rightarrow2\sin x\cos x-2\sin 2x\cos 2x+2\sin 3x\cos 3x=0 \end{gathered}$

Then,

Fullstacklife answered Apr 19, 2023

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