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What is 0 on the unit circle?

Published in Unit Circle 1 min read

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.