getting the correct location data with user input

Question

I have some code others have provided, which I modified in order to run a Python script in a toolbox in ArcMap which accepts user input for a starting point, distance, and angle to create a shapefile for a line. The script works OK except the starting point (origin_x, origin_y), which I am entering in decimal degrees, is always wrong when I place the shapefile in a map dataframe. How can I correct this code so that the math can work correctly to produce the right starting point location? It seems converting origin_x and origin_y into radians is the wrong way to go about it, but I'm not sure...

import arcpy
from arcpy import env
from math import radians, sin, cos, pi

#Set workspace
env.workspace = "G:\\Delapaix\\Geog_586_FinalProject\\line_connect"

origin_x   = arcpy.GetParameterAsText(0)
origin_y  = arcpy.GetParameterAsText(1)
distance  = arcpy.GetParameterAsText(2)
angle  = arcpy.GetParameterAsText(3)

# convert latitude and longitude to radians 
origin_x = float(origin_x)/(180/pi)
origin_y = float(origin_y)/(180/pi)

# calculate offsets with light trig
(disp_x, disp_y) = (float(distance) * sin(radians(float(angle))), float(distance) *  cos(radians(float(angle))))
(end_x, end_y) = (float(origin_x) + disp_x, float(origin_y) + disp_y)

output = "offsetLine.shp"
arcpy.CreateFeatureclass_management("G:\\Delapaix\\Geog_586_FinalProject\\line_connect",output, "Polyline")
cur = arcpy.InsertCursor(output)
lineArray = arcpy.Array()

# start point
start = arcpy.Point()
(start.ID, start.X, start.Y) = (1, origin_x, origin_y)
lineArray.add(start)

# end point
end = arcpy.Point()
(end.ID, end.X, end.Y) = (2, end_x, end_y)
lineArray.add(end)

# write feature to the shapefile
feat = cur.newRow()
feat.shape = lineArray
cur.insertRow(feat)

# code for buffering the line and including features in buffer zone would go here

# yes, this shouldn't really be necessary
lineArray.removeAll()