Perplex
  • Dashboard
Topics
Exponents & LogarithmsRounding & ErrorSequences & SeriesCounting & BinomialsProof and ReasoningComplex NumbersAlgebra Skills
Cartesian plane & linesQuadraticsFunction TheoryTransformations & asymptotesPolynomials
2D & 3D GeometryTrig equations & identitiesVectors
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random Variables
DifferentiationIntegrationDifferential EquationsMaclaurin
Paper 3
Plus
Calculator Skills
Review VideosFormula BookletAll Study Sets
BlogLanding Page
Sign UpLogin
Perplex
Perplex
  • Dashboard
Topics
Exponents & LogarithmsRounding & ErrorSequences & SeriesCounting & BinomialsProof and ReasoningComplex NumbersAlgebra Skills
Cartesian plane & linesQuadraticsFunction TheoryTransformations & asymptotesPolynomials
2D & 3D GeometryTrig equations & identitiesVectors
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random Variables
DifferentiationIntegrationDifferential EquationsMaclaurin
Paper 3
Plus
Calculator Skills
Review VideosFormula BookletAll Study Sets
BlogLanding Page
Sign UpLogin
Perplex
IB Math AAHL
/
Maclaurin
/
Problem Bank
IB Math AAHL
/
Maclaurin
/
Problem Bank

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!
[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]
    Part (a):
    cosx=
  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]
    Part (a):
    cosx=
  2. Use your result from part (a) to estimate ​cos(0.3)​ correct to ​4​ significant figures.

    [2]