Question

Finding a point on the unit circle given one coordinate and th Suppose that ((3)/(5),y) is a point in Quadrant IV lying on the unit circle.

Answer 1

To find the coordinates of a point on the unit circle given one coordinate and the quadrant it lies in, we can use the Pythagorean identity and the signs of trigonometric functions to determine the other coordinate.

Step-by-step explanation:

To find the coordinates of a point on the unit circle given one coordinate and the quadrant it lies in, we can use the Pythagorean identity and the signs of trigonometric functions to determine the other coordinate. In this case, we are given that the x-coordinate is 3/5 and the point lies in Quadrant IV. Since the x-coordinate is positive, we know that the cosine of the angle is positive. Using the Pythagorean identity, we can find the y-coordinate by taking the square root of 1 minus the square of the x-coordinate. Since the point is in Quadrant IV, the y-coordinate will be negative. Therefore, the coordinates of the point are (3/5, -4/5).