Yes: they represent the same thing.
By its very mane, a sinusoidal wave refers to a sine function. The cosine function is simply the sine function that is phase-shifted.
A real life example of the sine function could be a ferris wheel. People board the ride at the ground (sinusoidal axis) and the highest and lowest heights you reach on the ride would be the amplitudes of the graph.
Its periodicity and amplitude remain the same.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Waves are periodic function, as is the sine function.
By its very mane, a sinusoidal wave refers to a sine function. The cosine function is simply the sine function that is phase-shifted.
A real life example of the sine function could be a ferris wheel. People board the ride at the ground (sinusoidal axis) and the highest and lowest heights you reach on the ride would be the amplitudes of the graph.
See the link belowA sine wave is computed by a mathematical function. A pure sine wave in a physical sense would exactly match the calculated value in the function at every point in time.
The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.
The only difference is a phase shift of pi/2 radians (90 degrees), so there is no aprticular advantage in either.
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).
Its periodicity and amplitude remain the same.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Waves are periodic function, as is the sine function.
The wave in amplitude modulation must be a sine wave. A sine wave represents smooth repetitive oscillation, which is necessary for this process.
Yes, sine is a trig function, it is opposite over hypotenuse.
A sine graph!