OCR MEI C4 2010 January — Question 2

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2010
SessionJanuary
TopicAddition & Double Angle Formulae

2 Show that \(\cot 2 \theta = \frac { 1 - \tan ^ { 2 } \theta } { 2 \tan \theta }\).
Hence solve the equation $$\cot 2 \theta = 1 + \tan \theta \quad \text { for } 0 ^ { \circ } < \theta < 360 ^ { \circ }$$