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Question 15

When $\theta\,$ is small, show that $cos⁡θ2sin⁡θ\displaystyle \frac{\cos \theta}{2\sin \theta}$ can be approximated by $2−θ24θ\displaystyle \frac{2 - \theta^2}{4\theta}$

[3]

Hence, approximate the value of $cos⁡π302sin⁡π30\displaystyle \frac{\cos \frac{\pi}{30}}{2\sin \frac{\pi}{30}}$

[2]

Calculate the percentage error in your approximation

[2]

Markscheme

Radians Questions

A Level
Maths
Radians

69 exam-style questions on Edexcel A Level Maths Radians, covering 5.1 Radian Measure, 5.2 Arc Length, 5.3 Areas of Sectors and Segments, 5.4 Solving Trigonometric Equations, and 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.

Radians

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Radians

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Question 15

When $\theta\,$ is small, show that $cos⁡θ2sin⁡θ\displaystyle \frac{\cos \theta}{2\sin \theta}$ can be approximated by $2−θ24θ\displaystyle \frac{2 - \theta^2}{4\theta}$

[3]

Hence, approximate the value of $cos⁡π302sin⁡π30\displaystyle \frac{\cos \frac{\pi}{30}}{2\sin \frac{\pi}{30}}$

[2]

Calculate the percentage error in your approximation

[2]

Markscheme

Radians Questions

A Level
Maths
Radians