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Yes: they represent the same thing.

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11y ago
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Q: Is a sinusoidal function the same thing as a sine wave?
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Related questions

Why we use sin cos etc in sinusoidal 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.


What type of instruments sine wave?

Sinusoidal waves are commonly produced by instruments such as synthesizers, function generators, and oscillators. These instruments are capable of generating pure sine waves with a consistent frequency and amplitude.


What is a real life example of the sine function?

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.


What is the difference between negative sine and cosine graphs and positive sine and cosine graphs?

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.


When is it better to use the sine function and when is it better to use the cosine function when modeling sinusoidal behavior?

The only difference is a phase shift of pi/2 radians (90 degrees), so there is no aprticular advantage in either.


How is a sine curve related to a wave?

A sine curve represents a mathematical function that oscillates in a wave-like pattern. When graphed, it shows a smooth, repetitive wave pattern where the value of the function varies sinusoidally with respect to time or distance. Sine curves are commonly used to represent various types of waves, such as sound waves or electromagnetic waves, as they exhibit similar oscillatory properties.


Why it is named sinusoidal wave or sine wave in ac?

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).


What is the characteristics properties of sine function?

Its periodicity and amplitude remain the same.


What are the Differentiate the sine wave and cosine wave?

The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.


How is sine affiliated with waves?

Waves are periodic function, as is the sine function.


Why the carrier for the amplitude modulation must be a sinusoidal waveform?

The wave in amplitude modulation must be a sine wave. A sine wave represents smooth repetitive oscillation, which is necessary for this process.


Is sine a trig function?

Yes, sine is a trig function, it is opposite over hypotenuse.