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Find the angle on the unit circle that corresponds to the given point ( -1/2, √3/2).

User Illcrx
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Answer:

120 degrees, or 2pi/3 radians

Explanation:

Connect this point to the origin. Also, draw a line perpendicular to the y-axis with that point being on such a line. You should have formed a triangle, and a special one at that, known as a 30-60-90 Triangle. If it’s a right triangle, and one side is half of the hypotenuse, it is such a triangle. This means that the angle you formed by connecting the point to the origin is 30 degrees. Along with that, this is a second quadrant angle, so we have to take for account the 90 degree angle in the first quadrant. In total there are 120 degrees.


Good luck on your trigonometry journey!

User Darrend
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