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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 California, Berkeley

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Michigan State University

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Oregon State University

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University of Michigan - Ann Arbor

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you'd and the period of why equals 1/4 sign. So in order to do these, we need to define our a NRB. Now this one are a It's always going to come before the trigonometry function. So that's gonna be our one. Fourth B is going to come directly after the trigonometry function. In this case, there's not one listed, so it's like a defined coif, it undefined coefficient. So it's gonna be one, because we're doing sign, we can find an amplitude. Amplitude, remember, is the absolute value of a so, for this case as absolute value of 1/4. So that means they're amplitude is 1/4 for our period. Our period. We're talking about son and let's dio how will the degrees on this one? So that's 360 degrees divided by the absolute value of B. So that's 360 divided by one, which is 360. And even if we did radiance said B two pi divided by one which would still be two pi. Of course, we know that 360 degrees and type I are equal

Liberty University

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AH
##### Ahyeon H.

University of California, Berkeley

##### Martha R.

Michigan State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor