Question

Let p = (-sqrt5/3, -2/3) be a point on the unit circle. Which trigonometric function represents the y-coordinate of point p?

a) sin(theta)
b) cos(theta)
c) tan(theta)
d) cot(theta)

Answer 1

The y-coordinate of point p represents the vertical distance from the origin of the unit circle to point p. Therefore, the trigonometric function that represents the y-coordinate of point p is sin(theta).

Step-by-step explanation:

The y-coordinate of point p represents the vertical distance from the origin of the unit circle to point p.

Since point p is (-√5/3, -2/3), the y-coordinate is -2/3.

Therefore, the trigonometric function that represents the y-coordinate of point p is sin(theta).