61.3k views
0 votes
In a unit circle, θ = 360°. What is the terminal point?

a) (0, -1)
b) (0, 1)
c) (-1, 0)
d) (1, 0)

1 Answer

6 votes

Final answer:

In a unit circle, the terminal point for θ = 360° is where the radial line completes a full rotation and intersects the unit circle at its starting point, which has coordinates (1, 0).

Step-by-step explanation:

In a unit circle, when θ = 360°, the angle has completed a full rotation around the circle. In terms of radians, this is equivalent to 2π radians, as 360° is the angle for a full circle. The terminal point is located where the radial line intersects the unit circle, which in the case of a full rotation, ends up back at the starting point on the circumference.

For any angle θ on a unit circle, the terminal point can be found at coordinates (cosθ, sinθ). Since cos 360° = 1 and sin 360° = 0, the terminal point at θ = 360° is found to be at the coordinates (1, 0). Therefore, the correct answer is (d) (1, 0).

User Jotbek
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.