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1 Pure Mathematics

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Question 689
a.

When x x\,x is small and measured in radians, show that tan⁡3xcos⁡2x \tan 3x \cos 2x\,tan3xcos2x can be approximated by 3x−6x33x - 6x^33x−6x3.

[3]
b.

Hence find an approximate value for tan⁡0.3cos⁡0.2\tan 0.3 \cos 0.2tan0.3cos0.2.

[2]
c.

Use your expansion to find an approximate value for tan⁡0.15cos⁡0.1\tan 0.15 \cos 0.1tan0.15cos0.1, giving your answer to four decimal places.

[1]
Markscheme

1 Pure Mathematics Questions

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