Plotting A Sine Wave Using Matplotlib And Numpy

Overview

  • Sine waves represent periodic oscillations.

 

  • Sine waves have the shape of sine curve.

 

  • The X-axis of the sine curve represents the time.

 

  • The Y-axis of the sine curve represents the amplitude of the sine wave.

 

  • The amplitude of the sine wave at any point in Y is proportional to the sine of a variable.

 

  • The sine wave is given by the equation

A sin(ωt)

 

A                        - Amplitude

t                         - Time

ω (Omega)         - Frequency

 

  • The sine curve goes through origin.

 

  • A cycle of sine wave is complete when the position of the sine wave starts from a position and comes to the same position after attaining its maximum and minimum amplitude during its course.

 

  • The time taken to complete one cycle is called the period of the sine wave.

 

  • The frequency of the sine wave is given by number of cycles per second.

 

  • ‘A’ denotes amplitude of a sine wave.

 

  • The distance covered by a cycle measures the wavelength of the sine wave.

 

  • The wavelength of the sine wave is denoted by λ.

 

  • Examples of sine waves include the oscillations produced by the suspended weight on spring and the alternating current.

 

  • NumPy has the sin() function, which takes an array of values and provides the sine value for them.

 

  • Using the numpy sin() function and the matplotlib plot()a sine wave can be drawn.

 

Example:

import numpy as np

import matplotlib.pyplot as plot

 

# Get x values of the sine wave

time        = np.arange(0, 10, 0.1);

 

# Amplitude of the sine wave is sine of a variable like time

amplitude   = np.sin(time)

 

# Plot a sine wave using time and amplitude obtained for the sine wave

plot.plot(time, amplitude)

 

# Give a title for the sine wave plot

plot.title('Sine wave')

 

# Give x axis label for the sine wave plot

plot.xlabel('Time')

 

# Give y axis label for the sine wave plot

plot.ylabel('Amplitude = sin(time)')

 

plot.grid(True, which='both')

 

plot.axhline(y=0, color='k')

 

plot.show()

 

# Display the sine wave

plot.show()

 

Output:

Sine Wave


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