Periodand Amplitudeof Trigonometry Functions - Example 1

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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Video Transcript

and period of period of why equals cosign times three The angle. Now here. Remember that in order to do this, we have to have our A and R b R A is usually we find with the Cosa we would find a co sign and be of our angle. Well, in this case, we don't have an A there, but just kind of like a like a coefficient with a variable that would be the same as one and B what equal three. So to find our amplitude, our amplitude is gonna be the absolute value of a. So in this case, that's gonna be the absolute value of one which is one on our period because we're talking about cosign that's going to be weaken. Do either, um, radiance are degrees. We're gonna do this within degrees. That's gonna be 360 degrees divided by the absolute value of B. So that would be 360. Divided by absolute value of three or 3 60 divided by three, which would be 100 in 20 degrees