Edexcel P3 2022 January — Question 9

Exam BoardEdexcel
ModuleP3 (Pure Mathematics 3)
Year2022
SessionJanuary
TopicReciprocal Trig & Identities

9. In this question you must show detailed reasoning. Solutions relying entirely on calculator technology are not acceptable.
  1. Solve, for \(0 < x \leqslant \pi\), the equation $$2 \sec ^ { 2 } x - 3 \tan x = 2$$ giving the answers, as appropriate, to 3 significant figures.
  2. Prove that $$\frac { \sin 3 \theta } { \sin \theta } - \frac { \cos 3 \theta } { \cos \theta } \equiv 2$$
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