Find the Value Using the Unit Circle sin(2/3)

Problem

sin((2*π)/3)

Solution

1. Identify the angle on the unit circle. The angle (2*π)/3 is located in the second quadrant.

2. Determine the reference angle. The reference angle is calculated as π−(2*π)/3=π/3

3. Recall the sine value for the reference angle. The sine of π/3 is √(,3)/2

4. Check the sign of the sine function in the second quadrant. Since the ycoordinate is positive in the second quadrant, the value remains positive.

Final Answer

sin((2*π)/3)=√(,3)/2

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