Find the Exact Value sin(150 degrees )

Problem

sin(150)

Solution

1. Identify the reference angle by finding the distance from the angle to the nearest x-axis. Since 150 is in the second quadrant, the reference angle is 180−150=30

2. Determine the sign of the function in the given quadrant. In the second quadrant, the sine function is positive.

3. Apply the trigonometric value for the reference angle. The value of sin(30) is 1/2

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

Final Answer

sin(150)=1/2

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