Addition of sine waves
Use the sliders below to set the amplitudes, phase angles, and angular velocities for each one of the two sinusoidal functions.[br][br]Check the [b]Show/Hide[/b] button to show the sum of the two functions.[br][br]Click the [b]Reset[/b] button to restart with default values.
Add two sine waves with different amplitudes, frequencies, and phase angles. What do you notice?
Add two sine waves with the same amplitude, frequency, and phase angle. What do you notice?[br] - Change the frequency and see what happens;[br] - Change the phase angle and see what happens.
Add two sine waves with the same amplitude, frequency, and opposite phase angles. What do you notice?
Add two sine waves with the same amplitude and frequency, and with phase angles that differ by 180 degree. What do you notice?
Addition of Sine Waves Using Complex Numbers
How can complex numbers be used to add complex numbers?
Why are we looking at the Imaginary part of the complex number, what would happen if we considered the real part?
Come up with your own sine functions, and try and add them using complex numbers.