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Question
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
P $ \subset $ Q and Q $-$ P $ \ne $ $\phi $
Q $ \not\subset $ P
P $ \not\subset $ Q
P = Q

Solution

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