Question: How Do You Find The Sine Curve?

What does a sine curve look like?

The domain of the sine function As you drag the point A around notice that after a full rotation about B, the graph shape repeats.

The shape of the sine curve is the same for each full rotation of the angle and so the function is called ‘periodic’.

The period of the function is 360° or 2π radians..

How do you find a sine equation?

Sin, Cos and TanThe sine of the angle = the length of the opposite side. the length of the hypotenuse.The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.The tangent of the angle = the length of the opposite side. the length of the adjacent side.

What are the 5 key points for sin?

They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle. The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).

How do you identify key points?

While the main idea is usually in the first sentence, the next most common placement is in the last sentence of a paragraph. The author gives supporting information first and then makes the point in the last sentence. Here’s a paragraph we can use as an example. Try to locate the topic and the main idea.

What is the formula for phase shift?

where |A| is the amplitude, B gives you the period, D gives you the vertical shift (up or down), and C/B is used to find the phase shift. … So the phase shift, as a formula, is found by dividing C by B. For F(t) = A f(Bt – C) + D, where f(t) is one of the basic trig functions, we have: the amplitude is |A|

What is the formula for period?

The formula for time is: T (period) = 1 / f (frequency). λ = c / f = wave speed c (m/s) / frequency f (Hz). The unit hertz (Hz) was once called cps = cycles per second.

What is C in a sine function?

The value of variable ‘c’ moves the sine graph to the right or the left. When c > 0, the graph moves to the left. When c < 0, the graph moves to the right. This horizontal movement is called the phase shift. The phase shift appears to be equal to the value of '–c'.

What is the equation for a sine graph?

To write a sine function you simply need to use the following equation: f(x) = asin(bx + c) + d, where a is the amplitude, b is the period (you can find the period by dividing the absolute value b by 2pi; in your case, I believe the frequency and period are the same), c is the phase shift (or the shift along the x-axis …

What are key points on a graph?

A point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates. A coordinate is one of a set of numbers used to identify the location of a point on a graph. Each point is identified by both an x and a y coordinate.

What is the period of sin?

The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.

What are the three characteristics of a sine wave?

Sinusoidal Amplitude, Frequency, and Phase The three characteristics that separate one sinusoid from another are amplitude, frequency, and phase.