Single Choice

Let P={θ:sinθcosθ=2cosθ} and Q={θ:sinθ+cosθ=2sinθ} be two sets. Then:

APQ and QPϕ
BQP
CP=Q
Correct Answer
DPQ

Solution

sinθcosθ=2cosθ
sinθ=cosθ+2cosθ
=(2+1)cosθ=(2121)cosθ
(21)sinθ=cosθ
sinθ+cosθ=2sinθ
P=Q


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