OCR Further Pure Core 2 2018 December — Question 9

Exam BoardOCR
ModuleFurther Pure Core 2 (Further Pure Core 2)
Year2018
SessionDecember
TopicComplex numbers 2

9
  1. By using Euler's formula show that \(\cosh ( \mathrm { i } z ) = \cos z\).
  2. Hence, find, in logarithmic form, a root of the equation \(\cos z = 2\). [You may assume that \(\cos z = 2\) has complex roots.]