Question

show rhat tan3x-tan2x-tanx=tan3x×tan2xtanx.

Answer 1

Hi ,

tan ( 2x + x ) = ( tan2x + tanx ) / ( 1 - tan2xtanx )

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

tan3x( 1 - tan2xtanx ) = tan2x + tanx

tan3x - tan3xtan2xtanx = tan2x + tanx

tan3x - tan2x - tanx = tan3xtan2xtanx

Hence proved .

I hope this helps you.

:)