SPS SPS FM Pure 2020 February — Question 9

Exam BoardSPS
ModuleSPS FM Pure (SPS FM Pure)
Year2020
SessionFebruary
TopicAddition & Double Angle Formulae
9
  1. Show that \(\cos 5 \theta = 16 \cos ^ { 5 } \theta - 20 \cos ^ { 3 } \theta + 5 \cos \theta\).
  2. Use the result of part (a) to prove that \(\cos \frac { \pi } { 10 } = \sqrt { \frac { 5 + \sqrt { 5 } } { 8 } }\).
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