Question

Y= -2sin(x/2-п/6) графік

Answer 1

Я не зная правильно я тебе даю ответ, но то что получилось.

Answer 2

To plot the graph of the function $Y = -2\sin\left(\frac{x}{2} - \frac{\pi}{6}\right)$, we'll need to consider the range of values for $x$ that we want to visualize. Let's say we want to plot it for $x$ values between $-2\pi$ and $2\pi$. This will give us a good sense of how the function behaves over one full period.

First, let's plot the graph:

pythonCopy code
import numpy as np
import matplotlib.pyplot as plt

# Define the function
def func(x):
    return -2 * np.sin(x / 2 - np.pi / 6)

# Generate x values from -2*pi to 2*pi
x = np.linspace(-2 * np.pi, 2 * np.pi, 1000)

# Compute corresponding y values using the function
y = func(x)

# Plot the graph
plt.figure(figsize=(8, 6))
plt.plot(x, y, label=r'$Y = -2\sin\left(\frac{x}{2} - \frac{\pi}{6}\right)$')
plt.xlabel('x')
plt.ylabel('Y')
plt.title('Graph of the Function')
plt.axhline(0, color='black', linewidth=0.5, linestyle='--')
plt.axvline(0, color='black', linewidth=0.5, linestyle='--')
plt.grid(True, linestyle='--', alpha=0.7)
plt.legend()
plt.show()

The graph will show the behavior of the function $Y = -2\sin\left(\frac{x}{2} - \frac{\pi}{6}\right)$ over the specified range. The sine function oscillates between -2 and 2, and the negative sign in front of the sine function reflects it along the x-axis. The graph will show periodic behavior with a period of $4\pi$, as expected from the function.

Note: You'll need to have the NumPy and Matplotlib libraries installed in your Python environment to run the above code. You can install them using pip if you don't have them already:

bashCopy code
pip install numpy matplotlib