In two or more complete sentences, describe why the range of y = sin(x) is -1 ≤ y ≤ 1. make sure to reference the unit circle in your description.

The unit circle is a circle that is centered at the origin (0,0). The highest that it will go in terms of y is y = 1. The lowest y value is y = -1. So that's why y = sin(theta) is restricted in that manner. The sine function applies the ratio of the opposite site to the hypotenuse. For the unit circle, the hypotenuse is 1 since the radius is 1. Check out the image attachment for a reference drawing. The segment in red is the value of sin(theta) while the blue segment is the hypotenuse of 1. Dividing the red segment length over the blue segment length gets us sin(theta).

In short, the sine theta value is the height of the red segment point that sits on the unit circle. The highest that point goes is y = 1; the lowest it goes is y = -1.

The correct answer is:

The unit circle has a center at the origin (0, 0) and a radius with a length of one unit. The sine function has a minimum value of -1 and a maximum value of 1. The radius of the unit circle extends from the origin to (0,-1) and from the origin to (0,1).

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

20 feet per second

hope i

-lavira : )