Evaluate sin(120 degrees )

Problem

sin(120)

Solution

1. Identify the reference angle by finding the distance from the angle to the nearest x-axis.

(θ_ref)=180−120=60

2. Determine the quadrant of the angle 120 which lies in Quadrant II.

3. Determine the sign of the sine function in Quadrant II, where sine values are positive.

sin(120)=sin(60)

4. Evaluate the sine of the reference angle using the unit circle or special right triangles.

sin(60)=√(,3)/2

Final Answer

sin(120)=√(,3)/2

Want more problems? Check here!