AQA FP1 2008 June — Question 5

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2008
SessionJune
TopicTrig Equations

5
  1. Find, in radians, the general solution of the equation $$\cos \left( \frac { x } { 2 } + \frac { \pi } { 3 } \right) = \frac { 1 } { \sqrt { 2 } }$$ giving your answer in terms of \(\pi\).
  2. Hence find the smallest positive value of \(x\) which satisfies this equation.