How do you describe the transformation of sine and cosine?
How do you describe the transformation of sine and cosine?
Changes to the amplitude, period, and midline are called transformations of the basic sine and cosine graphs. Changing the midline shifts the graph vertically. Changing the amplitude stretches or compresses the graph vertically. Changing the period stretches or compresses the graph horizontally.
What is the relationship between the graphs of sine and cosine?
Relationship between Sine and Cosine graphs The graph of sine has the same shape as the graph of cosine. Indeed, the graph of sine can be obtained by translating the graph of cosine by ( 4 n + 1 ) π 2 \frac{(4n+1)\pi}{2} 2(4n+1)π units along the positive x x x-axis ( n n n is an integer).
How are the sine and cosine graphs the same How are they different?
The difference between a cosine and sine graph is their shape and where they start. For a sine graph, a positive or negative number vertically flips the graph like it does with a cosine graph. Below, I will provide an example for each positive and negative cosine/sine graph.
What is the relationship between sine and cos?
Sal shows that the sine of any angle is equal to the cosine of its complementary angle.
How are the sine and cosine functions translated?
The Sine Function y = asin[b(x — h)] k Effect of h: The sinusoidal function is translated horizontally h units. If h > 0, the function moves to the right right — radians If h < 0, the function moves to the left Y = cos + The Cosine Function sm x — y Sin(x cos left — radians
How is a translation of a sine graph?
A translation is a type of transformation that is isometric (isometric means that the shape is not distorted in any way). A translation of a graph, whether its sine or cosine or anything, can be thought of a ‘slide’. To translate a graph, all that you have to do is shift or slide the entire graph to a different place.
Which is the transformational form of the sine function?
Transformational Form The Sine Function y = asin[b(x — h)] k The Cosine Function y = acos[b(x — h)] + k cas — cos Let’s review the role of the parameters a, b, h, and k in transforming these functions(s).
Which is the starting point of a sine graph?
The graph of this function is shown below with a WINDOW of X: and Y: (-2, 4, 1). The dotted line is Y = D = 2 and serves as the horizontal axis. The point plotted has coordinates and serves as a “starting point” for a sine graph shifted units to the right. This can also be determined with the formula B = .
