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cos x cos 2x cos 4x cos 8x =(sin 16x...

`cos x cos 2x cos 4x cos 8x =(sin 16x)/(16sin x)`

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LHS `=(1)/(2 sin x) " (2 sin x cos x ) cos 2 x cos cos 4x cos 8x "`
`=(1)/(2 sin x) "( sin 2x cos 2x) cos 4x cos 8x "`
`=(1)/(4 sin x) "(2 sin 2x cos 4x) cos 8x "`
`=(1)/(4 sin x) " (sin 4x cos 4x ) cos 8x "`
`=(1)/(8 sin x) " (2 sin 4x cos 4x ) cos 8x "`
`=(1)/(8 sin x) " (sin 8x cos 8x ) "`
`=(1)/(16 sin x) " (2 sin 8x cos 8x) "`
`=(1)/(16 sin x) " (sin 16 x) " =(sin 16x)/(16 sin x) =RHS`
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