Question

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

A) x is negative, y is negative.
B) x is positive, y is negative.
C) x is negative, y is positive.
D) x is positive, y is positive.

Answer 1

For an angle of theta = -60 degrees, the terminal side is in the fourth quadrant, resulting in a point P(x, y) with a positive x-value and a negative y-value.

Step-by-step explanation:

The angle theta = -60 degrees indicates a rotation in the clockwise direction from the positive x-axis. In standard position, this places the terminal side of the angle in the fourth quadrant, where x is positive and y is negative. Therefore, the point P(x, y) that lies on this terminal side will have a positive x-value and a negative y-value.