Prove that tan3A-tan2A-tanA=tan3A.tan2A.tanA

Steps to prove tan3A-tan2A-tanA=tan3A.tan2A.tanA

We know that 

⇒tan3A=tan(2A+A)

⇒tan3A=tan2A+tanA/1-tan2A.tanA

⇒tan3A(1-tan2A.tanA)=tan2A+tanA

⇒tan3A-tan3A.tan2A.tanA=tan2A+tanA

⇒tan3A-tan2A-tanA=tan3A.tan2A.tanA

Hence tan3A-tan2A-tanA=tan3A.tan2A.tanA is proved

Detail information:-

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