Question

prove that ,tan 3x tan 2x tan X = tan 3x -tan 2x -tan x​

Answer 1

Sᴏʟᴜᴛɪᴏɴ

we know that

3x = 2x + x

taking tan both sides.

tan3x = tan (2x +x )

tan 3x = tan 2x +tan X / 1-tan2x.tanx

tan 3x(1-tan2x tanx ) = tan2x +tan X

tan 3x - tan 3x tan 2x tan X = tan2x+ tanx

tan3x -tan2x -tanx = tan3x tan2x tanx .

hence proved