prove that tan22x-tan2x÷ 1- tan22x tan 2x=tan 3x tanx
prove that tan22x-tan2x÷ 1- tan22x tan 2x=tan 3x tanx
prajwal wankhade , 6 Years ago
Grade 11
Trigonometry> prove that tan 2 2x-tan 2x÷ 1- tan 2 2x t...
1 Answers
Arun
Dear student
(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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