Question

The point P(x, y) lies on the terminal side of an angle = –60° in standard position. What are the signs of the values of x and y?

a.Both x and y are positive.
b.Both x and y are negative.
c.x is positive, and y is negative.
d.x is negative, and y is positive.

Answer 1

The signs of x and y for a point lying on the terminal side of an angle of –° are such that x is positive and y is negative, placing the point in the fourth quadrant.

Step-by-step explanation:

The point P(x, y) lies on the terminal side of an angle of –° in standard position. To determine the signs of the values of x and y, we consider the quadrant in which the terminal side of the angle lies. Since the angle here is –°, we are dealing with an angle that is rotated in the clockwise direction from the positive x-axis. Rotating ° clockwise from the positive x-axis places the terminal side in the fourth quadrant, where the x-coordinate is positive and the y-coordinate is negative. Therefore, x is positive, and y is negative.

Answer: c. x is positive, and y is negative.