Question

Which of the following is equal to cos θ using coordinates on the unit circle?

1) x
2) y
3) y/x
4) x/y

Answer 1

Option 1) x is equal to cos θ on the unit circle, as the cosine of an angle is the x-coordinate of the point where the angle's terminal side intersects the circle.

Step-by-step explanation:

The question is asking to identify which of the given options is equal to cos θ using coordinates on the unit circle. On the unit circle, the cosine of an angle θ is the x-coordinate of the point where the terminal side of the angle intersects the circle. Given that the radius (r) of the unit circle is 1, the coordinates of any point on the unit circle are (cos θ, sin θ). Therefore, the correct answer is option 1) x, since cos θ corresponds to the x-coordinate on the unit circle.