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How do you change the period of a sine function?

If we have a sine function of the form f(x) = ASIN(Bx + C) + D, then the period of the function is 2 / |B|. Therefore, to find the period of the function f(x) = ASIN(Bx + C) + D, we follow these steps: Identify B in the function f(x) = ASIN(Bx + C) + D.

How do you find the period of a sine function?

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.

How do I find the period of a function?

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. Where A, B, C, and D are numbers, and the periods of these cosine functions differ.

What is the period of sinusoidal function?

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.

What is the period of a trig function?

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.

How does period affect sine graph?

Graphs with negative periods move to the opposite side of the y-axis. Don't confuse amplitude and period when graphing trig functions. For example, f(x) = 2 sin x and g(x) = sin 2x affect the graph differently: f(x) = 2 sin x makes it taller, and g(x) = sin 2x makes it move faster.

How does the period affect the graph?

The period of the graph is, as is the period of. The effect of the negative sign on the inside is to replace x-values by their opposites. This will flip the graph around the y-axis. However, because the graph of cosine is symmetric about the y-axis, this has no effect at all.

What does the period mean in a sine graph?