Type the correct answer in the box. use a comma to separate the x- and y-coordinates of each point. the coordinates of the point on the unit circle that corresponds to an angle of 0º are ( ). the coordinates of the point on the unit circle that corresponds to an angle of 90º are ( ).

On a unit circle, the point that corresponds to an angle of is at position .

The point that corresponds to an angle of is at position .

Step-by-step explanation:

On a cartesian plane, a unit circle is

The circle crosses the x- and y-axis at four points:

Join a point on the circle with the origin using a segment. The "angle" here likely refers to the counter-clockwise angle between the positive x-axis and that segment.

When the angle is equal to , the segment overlaps with the positive x-axis. The point is on both the circle and the positive x-axis. Its coordinates would be .

To locate the point with a angle, rotate the segment counter-clockwise by . The segment would land on the positive y-axis. In other words, the -point would be at the intersection of the positive y-axis and the circle. Its coordinates would be .

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1

56

step-by-step explanation: