It is proved that the value of 2 + cosx + SiNx * cosx is always greater than 0

It is proved that the value of 2 + cosx + SiNx * cosx is always greater than 0

2+cosx+sinx*cosx
=2+cosx+1/2sin2x
Because cosx > = - 1, sin2x > = - 1
SO 2 + cosx + SiNx * cosx > = 1 / 2 > 0