What is the wrapping function?

This section introduces trigonometry in terms of what is called the wrapping function, which takes the real number line and wraps it around the unit circle. The unit circle is a circle having a radius value of 1 and its center at the origin of a rectangular coordinate system.

Which of the following pairs of numbers from the number line get wrapped to the point 0 − 1 on the unit circle?

The numbers that get wrapped to (−1,0) are the odd integer multiples of π. Some positive numbers that are wrapped to the point (0,1) are π2,5π2,9π2. Some negative numbers that are wrapped to the point (0,1) are −π2,−5π2,−9π2.

What is the terminal point on a unit circle?

1,0
To find the terminal point on the unit circle, start at (1,0), measure the angle in degree or radian on the circle (move counter clockwise if the angle is positive and clockwise if the angle is negative.) The coordinate of the endpoint is called the terminal point.

How do you find the wrap function?

Wrapping Function. This is a new function that results from wrapping a number line around a circle. P(t) = (x, y) is the wrapping function equation where t is the measure of the angle in radians (in other words, it is theta), and (x, y) is the is the ordered pair on the terminal side which intersects the circle.

What is a wrapper function Python?

Wrapper functions can be used as an interface to adapt to the existing codes, so as to save you from modifying your codes back and forth. As an example, you might be writing functions to do some calculations.

How do you find amplitude and period?

Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat. Using this equation: Amplitude =APeriod =2πBHorizontal shift to the left =CVertical shift =D.

What are the terminal point determined by π 2?

The terminal point determined by -π/2 is (0, -1).

Which is the wrapping function for a circle?

Wrapping Function. This is a new function that results from wrapping a number line around a circle. P (t) = (x, y) is the wrapping function equation where t is the measure of the angle in radians (in other words, it is theta), and (x, y) is the is the ordered pair on the terminal side which intersects the circle.

How to wrap a number line around a circle?

Wrapping function. Wrapping Function. This is a new function that results from wrapping a number line around a circle. P (t) = (x, y) is the wrapping function equation where t is the measure of the angle in radians (in other words, it is theta), and (x, y) is the is the ordered pair on the terminal side which intersects the circle.

How do you wrap a circle in GeoGebra?

1. Set theta to 0 and the circle radius to 1. This is the unit circle. Notice the number line vertically positioned tangent to the circle at (1, 0). 2. Use the slider to wrap the number line around the unit circle. Notice that the central angle = length of arc = measure of arc. Symbolically theta = s = t.

Is there a print button on a tape calculator?

You can use the print button to print out the tape. Clear button clears the last input. All clear button clears the calculator, tape, and resets any functions. Memory clear button clears the memory.