import numpy as np
import matplotlib.pyplot as plt

# Generate x values from 0 to 4π
x = np.linspace(0, 4*np.pi, 1000)

# Calculate y values for both functions
y1 = np.sin(x)
y2 = np.cos(x)

# Create the plot
plt.figure(figsize=(10, 6))
plt.plot(x, y1, color='blue', label='sin(x)')
plt.plot(x, y2, color='red', label='cos(x)')

# Add labels and title
plt.xlabel('x')
plt.ylabel('y')
plt.title('Sine and Cosine Functions')

# Add legend
plt.legend()

# Add grid for better readability
plt.grid(True, alpha=0.3)

# Display the plot
plt.show()