algebra

Suggest a cubic that would best approximate a sine wave (f(x) = sin(x)) over the interval 0 less than or equal to x less than or equal to 2pi
(i) What intervals would you be concerned with. What amplitude would you be working with
(ii)Find a cubic that best approximates sin(x)
(iii) FInd a member of the family of such cubics that passes through the point (pi divided by 2, 0.969)

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