AQA C2 2015 June — Question 6

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2015
SessionJune
TopicTrig Equations

6
  1. Solve the equation \(\sin ( x + 0.7 ) = 0.6\) in the interval \(- \pi < x < \pi\), giving your answers in radians to two significant figures.
  2. It is given that \(5 \cos ^ { 2 } \theta - \cos \theta = \sin ^ { 2 } \theta\).
    1. By forming and solving a suitable quadratic equation, find the possible values of \(\cos \theta\).
    2. Hence show that a possible value of \(\tan \theta\) is \(2 \sqrt { 2 }\).