SPS SPS SM Pure 2023 October — Question 3

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2023
SessionOctober
TopicAddition & Double Angle Formulae
3.
  1. Given that \(\cos A = \frac { 3 } { 4 }\), where \(270 ^ { \circ } < A < 360 ^ { \circ }\), find the exact value of \(\sin 2 A\).
    1. Show that \(\cos \left( 2 x + \frac { \pi } { 3 } \right) + \cos \left( 2 x - \frac { \pi } { 3 } \right) \equiv \cos 2 x\). Given that $$y = 3 \sin ^ { 2 } x + \cos \left( 2 x + \frac { \pi } { 3 } \right) + \cos \left( 2 x - \frac { \pi } { 3 } \right)$$
    2. show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \sin 2 x\).
      [0pt] [BLANK PAGE]
This paper (4 questions)
View full paper
Q1 Q3 Q4 Q5