A The points px y is on the unit circle if x 123 the y Coor

A) The points p(x, y) is on the unit circle, if x = 1/23 the y= Coordinate u point p is an quantum b) The point P(x, y) is on the unit circle, if y = 3/5, find the x coordinate if point P is in quadrant 1. c) The point P(x, y) is on the unit circle, if x = Squareroot 2/2, find the y coordinate if P(x, y) is in quadrant.

Solution

(b) The point P is on the unit circle.The y coordinate of P is 3/5 and P is in Quadrant I.
Since the point is on the circumference of a unit circle,
x² + y² = 1
Our point is (x,3/5) and x is positive

x² + (3/5)² = 1
x² = 1 - 9/25
x² = 16/25
x = 4/5 Since x is positive.

(c) The point P is on the unit circle.The x coordinate of P is 2/2 and P is in Quadrant IV.
Since the point is on the circumference of a unit circle,
x² + y² = 1
Our point is (2/2 , y) and x is negative since its in IV quadrant y will be positive

(2/2)² + (y)² = 1
y² = 1 - 2/4
y² = 1/2
y = 1/2 Since y is positive in 4th quadrant