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1.5.5 Small angle approximations (A-level only)

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Question 4
a.

When x x\,x is small, show that sin⁡(2x)cos⁡(4x)\sin(2x) \cos(4x)sin(2x)cos(4x) can be approximated by 2x−16x32x - 16x^32x−16x3

[3]
b.

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

[2]
c.

Calculate the percentage error in your approximation

[1]

1.5.5 Small angle approximations (A-level only) Questions

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