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Sine Of Squared

Geometry Level 3

The smallest positive solution to $\Large \sin(x) = \sin(x^2)$ is $x=1.$ What is the second smallest positive solution?

no solutions >1

\frac{-1+\sqrt{1+4\pi}}{2}

\frac{-1+\sqrt{1+8\pi}}{2}

\frac{1+\sqrt{1+2\pi}}{2}

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by Eli Ross

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