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CGP EDU Academic Team
Published on: August 12, 2026
Find the general solution of the equation tanx + tan2x + tan3x = tanx tan2x tan3x
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Sol. tanx + tan2x + tan3x = tanx tan2x tan3x
⇒ tanx + tan2x = – tan3x + tanx tan2x tan3x
⇒ tanx + tan2x = –tan3x (1 – tanx tan2x)
⇒ 
⇒ tan 3x = tan(– 3x)
⇒ 3x = n π + (–3x)
⇒ 6x = n π
⇒ 
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