require 'pp'
include Math
def calc_theta(x,y)
theta = atan(1.0*x/y.abs)
return(theta) if(y>0)
if (theta>0)
return(PI-theta)
else
return(-PI-theta)
end
(-180..180).each do |deg|
pp [deg, calc_theta(sin(1.0*deg/180*PI), cos(1.0*deg/180*PI))/PI*180]