Prove that tan3xtan2xtanx = tan3x -tan2x -tanx by using a other method.
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Answered by
70
this pic will help you I hope
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sarmadkaif1:
are u askng the tanx question
I am asking this question
ok solve tan3x * tan2x * tan (nultiply these 3 terms and try to get the RHS)
by can we get by solving tan2x and rearranging the terms ?
by solving ^
can we get from tan3x formula ? it is 3tanx - tan^3x /1 - 3tan^2x ?
Answered by
140
From 3x = 2x + x
Applying tan on both sides..
tan3x = tan (2x+x)
tan3x = (tan2x+tanx)/1-tan2x tanx
(1-tan2x tanx)tan3x = tan2x+tanx
tan3x - tanx tan2x tan3x = tan2x+tanx
tanx tan2x tan3x = tan3x-tan2x-tanx
Hence it is proved..
Applying tan on both sides..
tan3x = tan (2x+x)
tan3x = (tan2x+tanx)/1-tan2x tanx
(1-tan2x tanx)tan3x = tan2x+tanx
tan3x - tanx tan2x tan3x = tan2x+tanx
tanx tan2x tan3x = tan3x-tan2x-tanx
Hence it is proved..
Can this question be solved from any other method too or just this ?
where is the question icant get it
yes
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