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Q.

Set of value of x lying in  [0,2π] satisfying the inequality |sinx|>2sin2x contains

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a

(0,π6)∪(π,7π6)

b

(0,7π6)

c

{π6}

d

(0,π6)∪(5π6,π)∪(π,7π6)∪(11π6,2π)

answer is D.

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Detailed Solution

(4)  |sinx|>2sin2x
⇒|sinx|(2|sinx|−1)<0
⇒0<|sinx|<12 , then draw the graph 

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