# algebra

posted by
**Alex**
.

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)