CAIE P2 2023 June — Question 6

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2023
SessionJune
TopicAddition & Double Angle Formulae
6
  1. Show that \(4 \sin \left( \theta + \frac { 1 } { 3 } \pi \right) \cos \left( \theta - \frac { 1 } { 3 } \pi \right) \equiv \sqrt { 3 } + 2 \sin 2 \theta\).
  2. Find the exact value of \(4 \sin \frac { 17 } { 24 } \pi \cos \frac { 1 } { 24 } \pi\).
  3. Find the exact value of \(\int _ { 0 } ^ { \frac { 1 } { 8 } \pi } 4 \sin \left( 2 x + \frac { 1 } { 3 } \pi \right) \cos \left( 2 x - \frac { 1 } { 3 } \pi \right) \mathrm { d } x\).
This paper (7 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6 Q7