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Prove that tan²2x - tan²x / 1- tan²2x tan²x = tan3x tanx

Prove that tan²2x - tan²x / 1- tan²2x tan²x = tan3x tanx

Question Image
Grade:12

1 Answers

Ritesh Khatri
76 Points
4 years ago
(tan²2x - tan²x) / (1- tan²2x tan²x)
= [(tan2x - tanx)*(tan2x + tanx)]/[(1- tan2x tanx)*(1+ tan2x tanx)]
= [(tan2x - tanx)/(1+ tan2x tanx)]*[(tan2x + tanx)/(1- tan2x tanx)]
=(tan2x-x)*(tan2x+x)
=tanx*tan3x





 

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