I don't think that would help. Just leave the - sign in and apply Euler's formula.eximius said:Does the second equation I gave above become eiθ1 / eiθ2?
The real part of a travelling wave refers to the physical displacement or amplitude of the wave as it propagates through a medium. It represents the actual movement of the particles in the medium as the wave passes through.
The real part and imaginary part of a travelling wave are mathematical components of a complex-valued function that describes the wave. The real part represents the physical displacement, while the imaginary part represents the phase or timing of the wave.
The real part of a travelling wave is affected by the properties of the medium through which it travels, such as density, elasticity, and temperature. The frequency and amplitude of the wave also play a role in determining the real part.
The speed of a travelling wave is determined by the frequency and wavelength of the wave, which are related to the real part of the wave. As the real part increases, the wavelength decreases, causing the wave to travel at a faster speed.
Yes, the real part of a travelling wave can be negative. This indicates that the particles in the medium are moving in the opposite direction of the wave's propagation. It is common for waves to have both positive and negative values for the real part as they oscillate back and forth.