Question

Y=1/2sin(x/2+п/6) построить график.

Answer 1

Если просто график можна в калькуляторе Graphing Calculator + Math, Algebra & Calculus

Answer 2

To plot the graph of the function Y = (1/2)sin(x/2 + π/6), we'll need to determine the range of x values we want to plot and then calculate the corresponding Y values. Let's create a graph with a suitable range of x values, say from -4π to 4π, and plot the function.

First, let's import the necessary libraries and define the function:

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

def y_function(x):
    return (1/2) * np.sin(x/2 + np.pi/6)

Now, we'll create the x values and calculate the corresponding Y values using the defined function:

pythonCopy code
x = np.linspace(-4*np.pi, 4*np.pi, 1000)
y = y_function(x)

Finally, we can plot the graph using Matplotlib:

pythonCopy code
plt.figure(figsize=(8, 6))
plt.plot(x, y, label='Y = (1/2)sin(x/2 + π/6)', color='b')
plt.xlabel('x')
plt.ylabel('Y')
plt.title('Graph of Y = (1/2)sin(x/2 + π/6)')
plt.legend()
plt.grid(True)
plt.axhline(0, color='black', linewidth=0.5)
plt.axvline(0, color='black', linewidth=0.5)
plt.show()

This code will produce a graph showing the function Y = (1/2)sin(x/2 + π/6) over the specified range of x values. The sine wave will be shifted horizontally by π/6 units due to the argument inside the sine function.