2cosx=(cosxtanx+sinx)/(tanx) taking RHS : cosxtanx+sinx)/(tanx) = cosxtanx/tanx + sinx/tanx = cosx + sinx *cosx/sinx = cosx + cosx = 2cosx = LHS hence LHS = RHS Solution 2cosx=(cosxtanx+sinx)/(tanx) taking RHS : cosxtanx+sinx)/(tanx) = cosxtanx/tanx + sinx/tanx = cosx + sinx *cosx/sinx = cosx + cosx = 2cosx = LHS hence LHS = RHS.