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Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesCounting & BinomialsProof and ReasoningComplex NumbersAlgebra Skills
Cartesian plane & linesQuadraticsFunction TheoryTransformations & asymptotesPolynomials
2D & 3D GeometryTrig equations & identitiesVectors
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random Variables
DifferentiationIntegrationDifferential EquationsMaclaurin
Review VideosFormula BookletMy Progress
BlogLanding Page
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Perplex
IB Math AAHL
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Maclaurin
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Problem Bank
IB Math AAHL
/
Maclaurin
/
Problem Bank

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[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]
[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]