AQA C4 2006 June — Question 4

Exam BoardAQA
ModuleC4 (Core Mathematics 4)
Year2006
SessionJune
TopicAddition & Double Angle Formulae

4
    1. Express \(\sin 2 x\) in terms of \(\sin x\) and \(\cos x\).
    2. Express \(\cos 2 x\) in terms of \(\cos x\).
  1. Show that $$\sin 2 x - \tan x = \tan x \cos 2 x$$ for all values of \(x\).
  2. Solve the equation \(\sin 2 x - \tan x = 0\), giving all solutions in degrees in the interval \(0 ^ { \circ } < x < 360 ^ { \circ }\).