Modify the code

Question

Modify the code by changing the magnitude contributions of the sine and cosine so that the sum of the magnitude factors is always 10
https://code.sololearn.com/czI3V9ErAWx5/#py
import numpy as np
#import scipy.signal as signal
import matplotlib.pyplot as plt

if __name__ == '__main__':
# Test bench area
print ("Hello")

t = np.arange(0.0, 0.05, 0.05/100 )
s1 = 5*np.cos(2*np.pi*100*t)+5*np.sin(2*np.pi*100*t)

plt.figure(1)
plt.plot(t, s1, '-')
# plt.title('Sign')
plt.xlabel('Time[s]')
plt.ylabel('Amplitude')

S1=np.fft.fft(s1)
f=np.arange(0.0, 1.0 , 1.0/50)
plt.figure(2)
plt.stem(f,abs(S1[0:50]))
plt.xlabel('Normalized Frequency f_s/2')
plt.ylabel('Magnitude')

fase = np.angle(S1)
y= [fase[5]]
x=[0.1]
plt.figure(3)
plt.stem(x,y)
plt.xlabel('Normalized Frequency a f_s/2')
plt.ylabel('Fase [rad]')
plt.show()

Answer 1

What seems to be the problem?