Find the Exact Value sin(120 degrees )

Problem

sin(120)

Solution

1. Identify the reference angle by finding the distance from the terminal side to the xaxis. Since 120 is in the second quadrant, the reference angle is 180−120=60

2. Determine the sign of the sine function in the second quadrant. In the second quadrant, the ycoordinates are positive, so sin(120) is positive.

3. Apply the known exact value for the sine of the reference angle. The value of sin(60) is √(,3)/2

4. Combine the sign and the value to find the final result.

Final Answer

sin(120)=√(,3)/2

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