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Prove that:cot x cot 2x cot 2x cot 3x ...

Prove that:`cot x cot 2x cot 2x cot 3x cot 3x cot x = 1`

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Given,
L.H.S
`cot x cot 2x - cot 2x cot 3x - cot 3x cot 4x `
`= cot x cot 2x - cot 3x (cot 2x+ cot x)`
...
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