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Question 6

When $x\,$ is small,

show that $tan⁡(3x)cos⁡(2x)\tan (3x) \cos (2x)$ can be approximated by $3x - 6x^3$

[3]

Hence, approximate the value of $tan⁡(0.3)cos⁡(0.2)\tan (0.3) \cos (0.2)$

[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 6

When $x\,$ is small,

show that $tan⁡(3x)cos⁡(2x)\tan (3x) \cos (2x)$ can be approximated by $3x - 6x^3$

[3]

Hence, approximate the value of $tan⁡(0.3)cos⁡(0.2)\tan (0.3) \cos (0.2)$

[2]

Calculate the percentage error in your approximation

[1]

Markscheme

Radians Questions

A Level
Maths
Radians