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The period of a periodic function is the interval of x-values on which the cycle of the graph that's repeated in both directions lies. Therefore, in the case of the basic cosine function, f(x) = cos(x), the period is 2.
0:03 2:07 Suggested clip Finding the Period and Amplitude of a Cosine Function — Quick YouTubeStart of suggested client of suggested clip Finding the Period and Amplitude of a Cosine Function — Quick
8:53 16:10 Suggested clip How To Find Amplitude, Period, Phase Shift, & Midline Vertical Shift YouTubeStart of suggested client of suggested clip How To Find Amplitude, Period, Phase Shift, & Midline Vertical Shift
Period of Trigonometric Functions 2). For any integer k k k. This shows the trigonometric functions are repeating. These functions are called periodic, and the period is the minimum interval it takes to capture an interval that when repeated over and over gives the complete function.
4:26 6:31 Suggested clip How do we find the period of our trigonometric graphs sine and YouTubeStart of suggested client of suggested clip How do we find the period of our trigonometric graphs sine and
Amplitude And Period. Amplitude is the height from the mean, or rest, value of the function to its maximum or minimum. The period is the distance required for the function to complete one full cycle. For the sine function, the amplitude is given by and the period is defined as. The same is true for a cosine function.
The period of a periodic function is the interval between two matching points on the graph. In other words, it's the distance along the x-axis that the function has to travel before it starts to repeat its pattern. The basic sine and cosine functions have a period of 2, while tangent has a period of.
Let's start with the basic sine function, f (t) = sin(t). This function has an amplitude of 1 because the graph goes one unit up and one unit down from the midline of the graph. This function has a period of 2 because the sine wave repeats every 2 units.
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