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Question 4

When $\theta\,$ is small, show that $3cos⁡θsin⁡θ\displaystyle \frac{3\cos \theta}{\sin \theta}$ can be approximated by $6−3θ22θ\displaystyle \frac{6 - 3\theta^2}{2\theta}$

[3]

Hence, approximate the value of $3cos⁡0.2sin⁡0.2\displaystyle \frac{3\cos 0.2}{\sin 0.2}$

[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 4

When $\theta\,$ is small, show that $3cos⁡θsin⁡θ\displaystyle \frac{3\cos \theta}{\sin \theta}$ can be approximated by $6−3θ22θ\displaystyle \frac{6 - 3\theta^2}{2\theta}$

[3]

Hence, approximate the value of $3cos⁡0.2sin⁡0.2\displaystyle \frac{3\cos 0.2}{\sin 0.2}$

[2]

Calculate the percentage error in your approximation

[2]

Markscheme

Radians Questions

A Level
Maths
Radians