SOLUTION: prove that (tanx+sinx)(1-cosx)=sin(Squared)xtanx

Algebra ->  Trigonometry-basics -> SOLUTION: prove that (tanx+sinx)(1-cosx)=sin(Squared)xtanx      Log On


   

Question 89043: prove that
(tanx+sinx)(1-cosx)=sin(Squared)xtanx
Answer by malakumar_kos@yahoo.com(315) About Me  (Show Source):
You can put this solution on YOUR website!

(tanx+sinx)(1-cosx)=sin(Squared)xtanx
L.H.S ..... [(sinx/cosx)+sinx](1-cosx)
[(sinx+sinx.cosx/cosx)](1-cosx)
[ sinx(1-cosx)+sinxcosx(1-cosx)]/cosx
sinx-sinxcosx+sinxcosx-sinx cos^2 x/cosx
sinx-sinx cos^2 x/cosx
sinx(1-cos^2 x)/cosx
(1-cos^2x)sinx/cosx
sin(squared)x.tanx.......R.H.S