Use the following values and ve-digit rounding arithmetic to construct the Hermite, Lagrange and Newton Forward-Difference polynomial to approximate sin 0.34.

Hermit polynomial H5(x)

H5(0.34)

Relative error (use header file math.h to calculate real value of sin 0.34).

Lagrange polynomial P2(x)

P2(0.34)

Relative error (use header file math.h to calculate real value of sin 0.34

Newton forward-difference formula polynomial P2(x)

P2(0.34)

Relative error (use header file math.h to calculate real value of sin 0.34

CODE IN C.