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1.8.2 Small angle approximations (A-level only)

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Question 3
a.

When θ \theta\,θ is small, show that 3cos⁡θsin⁡θ\displaystyle \frac{3\cos \theta}{\sin \theta}sinθ3cosθ​ can be approximated by 6−3θ22θ\displaystyle \frac{6 - 3\theta^2}{2\theta}2θ6−3θ2​

[3]
b.

Hence, approximate the value of 3cos⁡0.2sin⁡0.2\displaystyle \frac{3\cos 0.2}{\sin 0.2}sin0.23cos0.2​

[2]
c.

Calculate the percentage error in your approximation

[2]

1.8.2 Small angle approximations (A-level only) Questions

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  3. /1.8.2 Small angle approximations (A-level only)