Set builder form

Q. Let $P=\{\theta :\sin \theta -\cos \theta =\sqrt{2}\cos \theta \}$ and $Q=\{\theta :\sin \theta +\cos \theta =\sqrt{2}\sin \theta \}$ be two sets. Then

1. $Q\subset ̸P$
2. $P\subset QandQ-P\ne \varphi$
3. $P\subset ̸Q$
4. P = Q