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Prove the Identity sin6x=2sinxcosx(34sin2x)(14sin2x)\sin 6 x = 2 \sin x \cos x \left( 3 - 4 \sin ^ { 2 } x \right) \left( 1 - 4 \sin ^ { 2 } x \right)

question 265

Essay

Prove the identity.
- sin6x=2sinxcosx(34sin2x)(14sin2x)\sin 6 x = 2 \sin x \cos x \left( 3 - 4 \sin ^ { 2 } x \right) \left( 1 - 4 \sin ^ { 2 } x \right)

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