By its very mane, a sinusoidal wave refers to a sine function. The cosine function is simply the sine function that is phase-shifted.
Generating Sine and Cosine Signals (Use updated lab)
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
Negative cosine f(x) = sin(x) f'(x) = -cos(x)
Sine wave is considered as the AC signal because it starts at 0 amplitude and it captures the alternating nature of the signal. Cosine wave is just a phase shift of the sine wave and represents the same signal. So, either sine or cosine wave can be used to represent AC signals. However, sine wave is more conventionally used.
The wave function is derived from Schrödinger's equation, which describes how the quantum state of a physical system changes over time. By solving this equation, we can obtain the wave function that represents the quantum state of a particle. The wave function provides information about the probability amplitude of finding a particle at a specific location in space and time.
This question makes no sense as the specified condition cannot occur. The phase shift between a sine wave and a cosine wave is always 90 degrees, by definition.
It's called a sine wave because the waveform can be reproduced as a graph of the sine or cosine functions sin(x) or cos (x).
Should be a sine ( or cosine) wave.
By its very mane, a sinusoidal wave refers to a sine function. The cosine function is simply the sine function that is phase-shifted.
Generating Sine and Cosine Signals (Use updated lab)
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
The sinusoidal wave is harmonically pure, i.e. it only has one frequency in the frequency domain. If it were not harmonically pure, i.e. if it were not sinusoidal, it would be more difficult, if not impossible, to demodulate it at the receiver.
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
Neither wave is smoother than the other. However, the two waves are usually evaluated from 0 to 2*pi, and in that case, the cosine wave begins at y=1, and the sine wave begins at 0.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.