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Question

Find the set of all values of x in the interval [0,π] for which
2sin2x3sinx+10

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Solution

2sin2x3sinx+102sin2x2sinxsinx+10(2sinx1)(sinx1)02sinx10sinx1
sinx12 or sinx=1
xϵ[0,π6]{π2}[5π6,π]

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