TMUA 2017 Paper 2 Q4 — Worked Solution

P2·Trigonometry, Logic & Quantifiers·6.0Official · 2017 · Q4

multiple-solutionsreasoning-evaluationtrig-double-angle

The following question appeared in an examination: Given that

tan x = 3

, find the possible values of

sin 2 x

. A student gave the following answer:

tan x = 3

x = 60°

and

2 x = 120°

, therefore

sin 2 x = \frac{3}{2}

. Which one of the following statements is correct?

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