Question

Построить график y=sin(2x-)

Answer 1

График получается вот таким =)

Answer 2

Graph of y = sin(2x)

To graph the function y = sin(2x), we can use the standard graph of the sine function and apply the appropriate transformations.

The general form of the sine function is y = A*sin(Bx - C) + D, where A, B, C, and D are constants that affect the amplitude, period, phase shift, and vertical shift of the graph, respectively.

In the case of y = sin(2x), the value of B is 2, which affects the period of the function. The period of the function y = sin(Bx) is given by 2π/B. Therefore, for y = sin(2x), the period is 2π/2 = π.

The graph of y = sin(2x) will have a period of π, which means it will complete one full cycle from 0 to π.

Let's plot the graph of y = sin(2x) to visualize it.

import numpy as np
import matplotlib.pyplot as plt

x = np.linspace(0, 2*np.pi, 100)  # Generate x values from 0 to 2π
y = np.sin(2*x)  # Calculate y values for y = sin(2x)

plt.plot(x, y)
plt.title('Graph of y = sin(2x)')
plt.xlabel('x')
plt.ylabel('y')
plt.grid(True)
plt.show()

The graph of y = sin(2x) will be a standard sine wave with a period of π.

Note: The graph is based on the standard form of the sine function and may vary based on specific requirements or transformations.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.