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Question 1

When $\theta\,$ is small,

show that $cos⁡θsin⁡θ\displaystyle \frac{\cos \theta}{\sin \theta}$ can be approximated by $2−θ22θ\displaystyle \frac{2 - \theta^2}{2\theta}$

[3]

Hence, approximate the value of $cos⁡π24sin⁡π24\displaystyle \frac{\cos \frac{\pi}{24}}{\sin \frac{\pi}{24}}$

[2]

Calculate the percentage error in your approximation

[1]

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

Question bank

Radians

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Question 1

When $\theta\,$ is small,

show that $cos⁡θsin⁡θ\displaystyle \frac{\cos \theta}{\sin \theta}$ can be approximated by $2−θ22θ\displaystyle \frac{2 - \theta^2}{2\theta}$

[3]

Hence, approximate the value of $cos⁡π24sin⁡π24\displaystyle \frac{\cos \frac{\pi}{24}}{\sin \frac{\pi}{24}}$

[2]

Calculate the percentage error in your approximation

[1]

Markscheme

Radians Questions

A Level
Maths
Radians