# https://www.globalsino.com/ICs/page4853.html
# Calculator of length accuracy in 3D structure

import math

delta_angle = float(input ("Enter the angle deviation from 90 degree:"))
print (delta_angle)

Angle_1 = 90-(delta_angle)
Angle_1 = (Angle_1/180)*(math.pi)# Radians
sine_90_theta_1 = math.sin(Angle_1)

Angle_2 = 45+(delta_angle/2)
Angle_2 = (Angle_2/180)*(math.pi)# Radians
sine_45_theta_2 = math.sin(Angle_2)
square_root = math.sqrt(2)

x = square_root*sine_45_theta_2/sine_90_theta_1

print ("The maximum error is ", round((x-1)*10000)/100, "%")