Question 8 - A-Level Maths

Exam Board	OCR
Module	H240/01 (Pure Mathematics)
Topic	Addition & Double Angle Formulae

Show that \(\frac { 2 \tan \theta } { 1 + \tan ^ { 2 } \theta } = \sin 2 \theta\).
In this question you must show detailed reasoning. Solve \(\frac { 2 \tan \theta } { 1 + \tan ^ { 2 } \theta } = 3 \cos 2 \theta\) for \(0 \leq \theta \leq \pi\).