Question

tan3x tan2x tanx= tan3x-tan2x-tanx prove it plz do it faster

Answer 1

tan3x = tan(2x+x)

tan3x = (tan2x + tanx) / (1 - tanx.tan2x)

tan3x ( 1 - tanx.tan2x) = (tan2x + tanx)

tan3x - tan3x.tan2x.tanx = tan2x + tanx

tan3x.tan2x.tanx = tan3x - tan2x - tanx

Hence proved 

Answer 2

Hi ,

tan ( 2x + x )


tan3x = ( tan2x + tanx ) / ( 1- tan2xtanx )

tan3x( 1 - tan2xtanx ) = tan2x + tanx

tan3x - tanxtan2xtan3x = tan2x + tanx

tan3x - tan2x - tanx = tan3x - tan2x - tanx

Hence proved.

I hope this helps you.

:)