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# The period of a periodic function is the time elapsed for a complete cycle. In trigonometry, the period, usually denoted by T, is the length of a circular arc in the unit circle, which is the inverse function of the sine function. The period of a periodic function is the time required for the function to repeat itself. For example, if the period of a function is 2?, then the function repeats itself after every 2? units of time. The inverse function of the sine function is the circular function, which is defined as the length of the arc of the unit circle between the point (1,0) and the point (x,y). The period of a function is a measure of the frequency of the function.

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University of Texas at Austin

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University of North Carolina at Chapel Hill

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Michigan State University

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the period of why equal six side two thirds of our angle are a is six and R B is two thirds. So to find the amplitude, we're gonna use the absolute value of a. So for this, we're gonna find the absolute value of six, and that would be six. So our amplitude is six for period. We're gonna use radiance because their B is two thirds so in science, So that's gonna be two pi, which is the same is 360 divided by the absolute value of B. So we're gonna have to pie divided by two thirds. So to solve this, we're gonna go ahead, multiplied by the top and bottom by that two thirds because that's the dividing. So that's going to give us six pie divided by two, which will reduce down to three pot. And if you did work it with 360 divided by two thirds, you're also going to get 540 degrees

Liberty University

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##### Alisa L.

University of Texas at Austin

##### Boris M.

University of North Carolina at Chapel Hill

##### Martha R.

Michigan State University