new_contents: #!/usr/bin/env python
  
  
  from math import atan, pi, sqrt
  
  from properties.constants import GAMMA
  
  
  def nu_in_rad(m):
      if m < 1:
          raise ValueError('Mach number should be greater than or equal to 1')
      a = (GAMMA+1) / (GAMMA-1)
      b = m**2 - 1
      c = a**-1 * b
      return sqrt(a) * atan(sqrt(c)) - atan(sqrt(b))
  
  
  def nu_in_deg(m):
      return nu_in_rad(m) * 180 / pi
  
subject: Add nu_in_rad and nu_in_deg