$ ext{Determine the Location of } -pi/2 ext{ on a Unit Circle}$
Answer 1
Alex Thompson
To determine the location of $-\pi/2$ on a unit circle, we follow these steps:
1. Understand that the unit circle is a circle with a radius of 1 centered at the origin (0,0) in the coordinate plane.
2. The angle $-\pi/2$ is measured in radians and indicates a rotation of 90 degrees in the clockwise direction from the positive x-axis.
3. On the unit circle, $-\pi/2$ radians corresponds to the point where the angle terminates. Moving 90 degrees clockwise from the positive x-axis places the terminal side of the angle along the negative y-axis.
Therefore, the coordinates of the point corresponding to $-\pi/2$ are:
$(-\pi/2) = (0, -1)$
Thus, the point on the unit circle corresponding to the angle $-\pi/2$ is (0, -1).
Answer 2
Amelia Mitchell
To locate $-pi/2$ on a unit circle, follow these steps:
1. The unit circle is centered at (0,0) with a radius of 1.
2. The angle $-pi/2$ radians indicates a clockwise rotation of 90 degrees from the positive x-axis.
3. When rotated 90 degrees clockwise, the terminal side of the angle will lie on the negative y-axis.
The coordinates of the intersection point of this terminal side with the unit circle are:
$(-pi/2) = (0, -1)$
Thus, the coordinates of $-pi/2$ on the unit circle are (0, -1).
Answer 3
John Anderson
On the unit circle, $-pi/2$ radians is located at:
$-pi/2 = (0, -1)$
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