Question: Find the quadratic polynomial that agrees with sin x at x = 0, /4, /2 and use it for the interpolation and extrapolation of sin

Find the quadratic polynomial that agrees with sin x at x = 0, π/4, π/2 and use it for the interpolation and extrapolation of sin x at x = -π/8, π/8, 3π/8, 5π/8. Compute the errors.

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