sin & cos with amplitude and phase.. in the equation, 2 is a multiplier and called an amplitude....

Sin & Cos with Amplitude and Phase.


In the equation, 2 is a multiplier and called an amplitude. Amplitude describes the “height” of the trigonometric function.


In the equation, 2 is a multiplier and called an amplitude. Amplitude describes the “height” of the trigonometric function.

1

2

-1

-2


1

2

-1

-2

I used just basic angles and plotted my sin x curve.


1

2

-1

-2


Now let’s get our values for


1

2

-1

-2


Now let’s get our values for

As you can see, all the values doubled ( x 2 )


Phase relation is seen in practical applications such as sound, electrical, and radio waves. This “phase shift” adjusts the wave by sliding it either left or right a number of degrees. The waves mostly frequently shifted are sine waves.



Here is an example of a sine wave shifted 45⁰.



Here is an example of a sine wave shifted 45⁰. ( the interval is [ 0 , 2π ]

1

-1




1

-1

And so on




1

-1

And so on

As you can see, we either add or subtract the angle.

sin & cos with amplitude and phase.. in the equation, 2 is a multiplier and called an amplitude....

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