Mathematics

Mathematics

Problem

If P=θ:sin⁡θ−cos⁡θ=2cos⁡θP = {\theta : \sin \theta - \cos \theta = \sqrt{2} \cos \theta} and Q=θ:sin⁡θ+cos⁡θ=2sin⁡θQ = {\theta : \sin \theta + \cos \theta = \sqrt{2} \sin \theta} be two sets, then, a. P⊂QP \subset Q and Q−P≠∅Q - P \neq \emptyset b. Q⊂PQ \subset P c. P⊄QP \not\subset Q d. P=QP = Q

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