Question

Построить график y=sin x/2

Answer 1

Держи свой график,думаю , этого промежутка хватит

Answer 2

Graph of y = sin(x/2)

To graph the function y = sin(x/2), we can use the standard graph of the sine function and apply a horizontal compression by a factor of 2. The general form of the sine function is y = sin(ax), where 'a' represents the horizontal compression/stretch. In this case, a = 1/2, which means the graph will be compressed horizontally by a factor of 2.

Graph Representation

The graph of y = sin(x/2) will have the same shape as the regular sine function, but the period will be halved due to the horizontal compression by a factor of 2. The amplitude remains unchanged.

Code for Graphing

To graph the function y = sin(x/2) in Python using matplotlib, you can use the following code:

import numpy as np
import matplotlib.pyplot as plt

x = np.linspace(-2*np.pi, 2*np.pi, 1000)  # Generating x values from -2π to 2π
y = np.sin(x/2)  # Calculating y values for the given function

plt.plot(x, y, label='y = sin(x/2)')
plt.xlabel('x')
plt.ylabel('y')
plt.title('Graph of y = sin(x/2)')
plt.grid(True)
plt.axhline(0, color='black',linewidth=0.5)
plt.axvline(0, color='black',linewidth=0.5)
plt.legend()
plt.show()

This code uses the numpy library to generate x values and calculate y values for the given function. It then uses matplotlib to plot the graph with appropriate labels and title.

I hope this helps! Let me know if you have further questions or need additional assistance.