Prove that: 16 sinx cosx cos2x cos4x cos8x = sin16x
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16sinx cosx cos2x cos4x cos8x
=>8 X 2sinx cosx cos2x cos4x cos8x
=>4 X 2sin2x cos2x cos4x cos8x
=>2 X 2sin4x cos4x cos8x
=>1 X 2sin8x cos8x
=>sin16x
=>RHS
[use the identity sin2x = 2sinx cosx]
Hence Proved.
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