Oxford PAT 2014, Question 9

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This question has two answers posted here. The first one uses the trigonometric identity for the tangent of a sum: it requires that you have memorized these identities, but I think it is slightly easier and quicker to work through it. The second one just uses Pythagoras’s theorem: it doesn’t require you to know any formulae, but it requires a bit more working to get to the answer.

Version using trigonometric identities

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Version using Pythagoras

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Thanks to Harry, for pointing out that memorizing the trigonometric identities is not actually on the syllabus, and to Ewan for pointing out a stupid mistake in the original version of these answers.

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