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  • Perplex
    IB Math AAHL
    /
    Maclaurin
    /

    Problem Bank

    [Maximum mark: 4]

    In small-angle modeling (e.g., pendulum motion), the Maclaurin series for ​cosx​ is often used to approximate ​cosθ​ where ​θ​ is measured in radians and is close to zero.

    1. Write down the first four non-zero terms of the Maclaurin series for ​cosx.

      [2]

      To earn a crown, get your answer ready before you reveal the options!

    2. Use your result from part (a) to estimate ​cos(0.3)​ correct to ​4​ significant figures.

      [2]

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