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1.5.5 Small angle approximations (A-level only)

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Question 5
a.

When x x\,x is small, show that tan⁡(3x)cos⁡(2x)\tan(3x) \cos(2x)tan(3x)cos(2x) can be approximated by 3x−6x33x - 6x^33x−6x3

[3]
b.

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

[2]
c.

Calculate the percentage error in your approximation

[2]

1.5.5 Small angle approximations (A-level only) Questions

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