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Question

Let P={θ:sinθcosθ=2cosθ} and Q={θ:sinθ+cosθ=2sinθ} be two sets. Then
  1. PQ and QPϕ
  2. Q⊄P
  3. P = Q
  4. P⊄Q


Solution

The correct option is C P = Q
P={θ:sinθcosθ=2cosθ}sin θ=(2+1)cos θ, tanθ=2+1Q={θ:sin θ+cos θ=2sin θ}cos θ=(21)sin θ or tan θ=2+1 P=Q

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