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Questions  

The number of values of x in the interval [0,3π] satisfying the equation 2sin2x+5sinx3=0 is

a
2
b
4
c
6
d
1

detailed solution

Correct option is B

We have (sin⁡x+3)(2sin⁡x−1)=0⇒ sin⁡x=−3 which is not possibleor sin⁡x=1/2⇒x=π/6,5π/6,13π/6,17π/6 as x∈[0,3π]

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