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1.7.14 Small angle approximations (A-level only)

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Question 8
a.

When x x\,x is small, show that tan⁡(4x)cos⁡(3x)\tan(4x) \cos(3x)tan(4x)cos(3x) can be approximated by 4x−18x34x - 18x^34x−18x3

[3]
b.

Hence, approximate the value of tan⁡(0.4)cos⁡(0.3)\tan(0.4) \cos(0.3)tan(0.4)cos(0.3)

[2]
c.

Calculate the percentage error in your approximation

[1]

1.7.14 Small angle approximations (A-level only) Questions

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