Question

(tanx+sinx)(1-cosx)=sin^2xtanx

Answer 1

 [(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