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Question 5

When $x\,$ is small, show that $sin⁡(2x)cos⁡(4x)\sin(2x) \cos(4x)$ can be approximated by $2x - 16x^3$

[3]

Hence, approximate the value of $sin⁡(0.2)cos⁡(0.4)\sin(0.2) \cos(0.4)$

[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

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Radians

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Question 5

When $x\,$ is small, show that $sin⁡(2x)cos⁡(4x)\sin(2x) \cos(4x)$ can be approximated by $2x - 16x^3$

[3]

Hence, approximate the value of $sin⁡(0.2)cos⁡(0.4)\sin(0.2) \cos(0.4)$

[2]

Calculate the percentage error in your approximation

[1]

Markscheme

Radians Questions

A Level
Maths
Radians