Sine interpolation

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Let’s take the value of sine in points π,0,π-\pi,0,\pi as the set for interpolation. That is to say, you’re given the following set of dots: {(π,sin(π)),(0,sin(0)),(π,sin(π))}\{ (-\pi,sin(-\pi)), (0, sin(0)), (\pi,sin(\pi)) \}. You need to make the Lagrange interpolating polynomial for the given set and find out its value for x=10x=10. Write down the answer accurate to two decimal places.

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