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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: cot 4x( sin 5x + sin 3x ) = cotx (sin 5x - sin 3x ) prove
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neil_mahaseth (5)

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cot 4x( sin 5x + sin 3x ) = cotx (sin 5x - sin 3x ) prove

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akhil_o (2709)

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use
sinC+ sin D= 2sin ((C+D)/2)cos( (C-D)/2)
sinC-sin D= 2sin ((C-D)/2)cos( (C+D)/2)
LHS reduces to

cot 4x( 2 sin 4x cos x)
=2cos 4x cos x

RHS=cot x( 2cos 4 x sin x)
=2 cos 4x cos x
so LHS=RHS proved


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neil_mahaseth (5)

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Thanks

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