Final answer:
The angle of 400 degrees on the unit circle is found by subtracting 360 degrees from 400 degrees to get the corresponding angle of 40 degrees in the first quadrant, as the positive direction on the unit circle is counter-clockwise.
Step-by-step explanation:
To locate the angle of 400 degrees on the unit circle, we need to understand that a circle consists of 360 degrees. An angle of 400 degrees means that the angle has completed a full circle (360 degrees) and then continues an additional 40 degrees. In the context of a unit circle used in trigonometry, this corresponds to a point in the first quadrant.
The positioning can be found through the following steps:
- Subtract 360 degrees from the given 400 degrees to determine the additional rotation: 400 degrees - 360 degrees = 40 degrees.
- Locate 40 degrees on the unit circle, which will be in the first quadrant, slightly above the x-axis if we consider the counter-clockwise rotation as the positive direction.
This process is part of determining the standard position of an angle, which is commonly done in trigonometry to assess angles exceeding 360 degrees or falling below 0 degrees.