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Problem 921

Find the solution set on \([0,2 \pi]\) of the equation $\left(\sqrt{1}+\sin ^{2} x\right)=(\sqrt{2}) \sin x$.

Expert verified

The solution set for the equation \(\left(\sqrt{1}+\sin ^{2} x\right)=(\sqrt{2}) \sin x\) on the interval \([0,2 \pi]\) is empty, as there are no real solutions for \(y = \sin x\).

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