On the unit circle, 0 radians (or 0 degrees) corresponds to the point (1, 0).
Understanding the Unit Circle
The unit circle is a circle with a radius of 1 centered at the origin (0, 0) in the Cartesian coordinate system. Angles are measured counterclockwise from the positive x-axis. A point on the unit circle can be represented as (cos θ, sin θ), where θ is the angle.
0 Radians/Degrees
When the angle is 0, we are located at the point where the positive x-axis intersects the unit circle. At this point:
- The x-coordinate is 1, representing cos(0).
- The y-coordinate is 0, representing sin(0).
Therefore, the coordinates for 0 on the unit circle are (1, 0). This also tells us that cos(0) = 1 and sin(0) = 0.