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Prove that: tan3Atan2AtanA=t a n3A-tan2...

Prove that: `tan3Atan2AtanA=t a n3A-tan2A-t a n A` `cot Acot2A-cot2Acot3A-cot3Acot A=1`

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We have,
`3A=2A+A`
tan 3A = tan(2A+A)
`rArr tan3A = (tan2A + tanA)/(1-tan2AtanA)`
`rArr tan3A(1-tan2AtanA)=tan2A+tanA`
`rArr tan 3A- tan3A tan2A tan A=tan 2A + tanA`
`rArr tan3A - tan2A -tanA = tan3A tan2A tanA`
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AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section - J (Akash Challengers Question)
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