Prove that tan²2x - tan²x / 1- tan²2x tan²x = tan3x tanx
Aditi Chaturvedi , 7 Years ago
Grade 12
Trigonometry> Prove that tan²2x - tan²x / 1- tan²2x tan...
1 Answers
Ritesh Khatri
Last Activity: 7 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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