CAIE P3 2020 Specimen — Question 7

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2020
SessionSpecimen
TopicHarmonic Form

7
  1. By first d g co \(\left( x + \Omega ^ { \circ } \right)\), ev ess co \(\left( x + \Omega ^ { \circ } \right) - \sqrt { 2 } \sin x\) in th fo \(\mathrm { m } R \mathrm { co } ( x + \alpha )\), wh re \(R > 0\) ad \(0 ^ { \circ } < \alpha < \theta { } ^ { \circ }\). Gie th le \(6 R\) co rect to 4 sig fican fig res ad th le \(6 \alpha\) co rect tod cimal p aces. [ $\$$
  2. Hen e sb th teq tin $$\text { CB } \left( x + 3 ^ { \circ } \right) - \sqrt { 2 } \sin x = 2$$ fo \(0 ^ { \circ } < x < \boldsymbol { \theta }\)