CAIE P2 Specimen — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
SessionSpecimen
TopicHarmonic Form
3
  1. Express \(8 \sin \theta + 15 \cos \theta\) in the form \(R \sin ( \theta + \alpha )\), where \(R > 0\) and \(0 ^ { \circ } < \alpha < 90 ^ { \circ }\). Give the value of \(\alpha\) correct to 2 decimal places.
  2. Hence solve the equation $$8 \sin \theta + 15 \cos \theta = 6$$ for \(0 ^ { \circ } \leqslant \theta \leqslant 360 ^ { \circ }\).
This paper (7 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6 Q7