Question: Consider the problem of computing values for the sine function for arguments near 211'. Let a: t: 211' and let I: be a small perturbation

Consider the problem of computing values for the
Consider the problem of computing values for the sine function for arguments near 211'. Let a: t: 211' and let I: be a small perturbation to :0. (21\".) i). Find an approximation to the absolute and relative error of sin(:t) at a: m 2H using the following relations; Absolute Error = |f(x + h.) f(:r)| a h|f'(x)| Iftsc+ h) mm H hlf'(:c)l |f(:v)| wen ii). What does this tell us about the condition number for sin(:r:) around :1: = 2n"? Relative Error =

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