Need help with Taylor Polynomial approximation

Please help with the following:

Use a Taylor polynomial to approximate cos(0.75) with an error less than 0.001.

Thanks!

You should know that . So let and keep adding terms until you reach your required accuracy (i.e. stop when you have enough digits repeating).

so you get:

1 - (0.75^2/2) +(0.75^4/4!) - (0.75^6/6!).....

would the polynomial answer just be the first 3 terms (up to the 4th power)?

Quote:

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Originally Posted by kimsanders82

so you get:

1 - (0.75^2/2) +(0.75^4/4!) - (0.75^6/6!).....

would the polynomial answer just be the first 3 terms (up to the 4th power)?

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Get a decimal answer each time you add a term, keep going until you have the first three decimal places matching :)