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5.5 Small Angle Approximations

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Question 7

When $\theta\,$ is small, show that $cos⁡θ3sin⁡θ\displaystyle \frac{\cos \theta}{3\sin \theta}$ can be approximated by $2−θ26θ\displaystyle \frac{2 - \theta^2}{6\theta}$

[3]

Hence, approximate the value of $cos⁡0.13sin⁡0.1\displaystyle \frac{\cos 0.1}{3\sin 0.1}$

[2]

Calculate the percentage error in your approximation

[2]

Markscheme

5.5 Small Angle Approximations Questions

A Level
Maths
5.5 Small Angle Approximations

25 exam-style questions on Edexcel A Level Maths 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.

5.5 Small Angle Approximations

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5.5 Small Angle Approximations

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Question 7

When $\theta\,$ is small, show that $cos⁡θ3sin⁡θ\displaystyle \frac{\cos \theta}{3\sin \theta}$ can be approximated by $2−θ26θ\displaystyle \frac{2 - \theta^2}{6\theta}$

[3]

Hence, approximate the value of $cos⁡0.13sin⁡0.1\displaystyle \frac{\cos 0.1}{3\sin 0.1}$

[2]

Calculate the percentage error in your approximation

[2]

Markscheme

5.5 Small Angle Approximations Questions

A Level
Maths
5.5 Small Angle Approximations

25 exam-style questions on Edexcel A Level Maths 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.