prove that [(sin 2 t / sin t )] - [( cos 2t ) / cos t ] = sec t

and sin (2t - t ) = sin t

2 answers

On the first, start with the double angle formulas.

On the second, the proof is trivial.

2t-t is t.
sin(2t-t)=sint
In fact I have solved this like that
follows:
=(sin 2t*cost-cos2t*sint )/cost*sint

= sin (2t-t)/sint*cost
= sint/sint*cost
=1/cost
=sect QED

Where 't' stands for 'theta' .
Was I correct ?