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Math Help - Taylor series approximation to cosine

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    Taylor series approximation to cosine

    Use four terms of the taylor expansion for cos near 30 to calculate cos (34). Answer to 5 significant figures....
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    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by mr_motivator View Post
    Use four terms of the taylor expansion for cos near 30 to calculate cos (34). Answer to 5 significant figures....
    Apply the definition of the Taylor Series:

    In case of cos(x) about x=30 we see that the first 4 terms are \cos(30)-\sin(30)\left(x-30\right)-\frac{\cos(30)}{2}\left(x-30\right)^2+\frac{\sin(30)}{6}\left(x-30\right)^3

    Now substitute x=34 into this Taylor polynomial of degree 3 and approximate it to 5 sig figs.

    Can you take it from here?
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