The unit circle is an important idea in trigonometry.

It’s just a circle with a radius of 1, sitting right in the middle of a graph.

This circle helps us understand angles, which we can measure in degrees and radians.

Here are some key angles and their coordinates on the unit circle that you should remember:

1. Angle: 0° (0 radians)

   • Coordinate: (1, 0)

2. Angle: 30° (π/6 radians)

   • Coordinate: (√3/2, 1/2)

3. Angle: 45° (π/4 radians)

   • Coordinate: (√2/2, √2/2)

4. Angle: 60° (π/3 radians)

   • Coordinate: (1/2, √3/2)

5. Angle: 90° (π/2 radians)

   • Coordinate: (0, 1)

6. Angle: 180° (π radians)

   • Coordinate: (-1, 0)

7. Angle: 270° (3π/2 radians)

   • Coordinate: (0, -1)

8. Angle: 360° (2π radians)

   • Coordinate: (1, 0)

These coordinates are really useful.

They help us see how angles connect with their sine and cosine values, which are important in trigonometry.