Prove that cotxcot2x - cot2xcot3x - cot3xcotx = 1
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cot (A+B) = CotA.CotB-1/ (cotA+CotB)
Cot 3x= Cot (2x+x)= Cot2x.Cotx-1/(cot2x+cotx)
⇒cot3x.cot2x+cot3x.cotx=Cot2x.Cotx-1
⇒cotxcot2x - cot2xcot3x - cot3xcotx = 1
Cot 3x= Cot (2x+x)= Cot2x.Cotx-1/(cot2x+cotx)
⇒cot3x.cot2x+cot3x.cotx=Cot2x.Cotx-1
⇒cotxcot2x - cot2xcot3x - cot3xcotx = 1
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