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In a unit circle, 0 = 360°. What is the terminal point?

A. (0, -1)
B. (0,1)
C. (-1,0)
O D. (1,0)
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User Doug Noel
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1 Answer

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Final answer:

The terminal point on a unit circle after a 360-degree rotation is (1,0), which corresponds to a full revolution back to the initial side.

Step-by-step explanation:

Understanding Terminal Points on a Unit Circle

In the context of trigonometry and the unit circle, when we have a full rotation of 360 degrees (or 2π radians), the position on the unit circle is back to its starting point. This starting point is the intersection of the circle with the positive x-axis, known as the initial side of the angle. This point has coordinates (1,0), as it lies one unit away from the origin along the x-axis and zero units along the y-axis.

Therefore, when the problem states that 'In a unit circle, 0 = 360°,' we understand it to mean that the angle has made a full rotation. The terminal point after this rotation is (1,0), which corresponds to option D. It's important to grasp that the unit circle is a powerful tool in trigonometry for understanding angles, radians, and coordinates associated with those angles.

User EtienneSky
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