Prove that `cotxcot2x-cot2xcot3x-cot3xcotx=1`

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Prove that cot x cot2x-cot2x cot3x-cot3x cot x=1

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Prove that : cot x cot2x+cot2x cot3x+2=cot x(cot x-cot3x)

Prove that cot 2x cot x- cot 3x cot 2x - cot 3x cot x=1

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cotx cot 2x - cot 2x cot 3x - cot 3x cot x = 1

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Prove that: tan3A tan2A tan A=tan3A-tan2A-tan Acot A cot2A-cot2A cot3A-cot3A cot A=1