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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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amplitude and the period of why equals tangent times negative one third. So to define this, we need to find our A and R B are a In this case, even though there's not one there were gonna it's kind of like understood coefficient is going to be one and R B is negative one third now because we're talking about tangent, remember, there is not an app amplitude. So any time you're doing tangent, you will not have an amplitude for our period because we're doing tangent. That's gonna be we're gonna do radiance on this one. That's gonna be pi divided by the absolute value of B. So for this one, that would be pie divided by absolute value of negative one third, which would be pie divided by just positive one third. And in order to solve this, we're going to divide. We're gonna multiply everything about the denominator, so they'll be three that cross out on the bottle. So that means our period would be three pie because three times pi would be three pie Liberty University

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##### Top Algebra 2 Educators ##### Lily A.

Johns Hopkins University ##### Boris M.

University of North Carolina at Chapel Hill ##### Shubham P.

University of Washington ##### Heather Z.

Oregon State University