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1:19 16:10 Suggested clip How To Find Amplitude, Period, Phase Shift, & Midline Vertical Shift YouTubeStart of suggested clipEnd of suggested clip How To Find Amplitude, Period, Phase Shift, & Midline Vertical Shift
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2. So, a coefficient of b=1 is equivalent to a period of 2. To get the period of the sine curve for any coefficient b, just divide 2 by the coefficient b to get the new period of the curve.
The period is the distance between each repeating wave of the function, so from tip to tip of the function's graph. As you can see from this graph, the distance between the tips of the function is 3.034 - 1.463 = 1.57. 1.57 is the same as pi over 2, which is the same as we got from using the formula.
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.
1:59 4:57 Suggested clip Midline, amplitude and period of a function | Graphs of trig functions YouTubeStart of suggested clipEnd of suggested clip Midline, amplitude and period of a function | Graphs of trig functions
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.
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 .
8:53 16:10 Suggested clip How To Find Amplitude, Period, Phase Shift, & Midline Vertical Shift YouTubeStart of suggested clipEnd of suggested clip How To Find Amplitude, Period, Phase Shift, & Midline Vertical Shift
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