Evaluate sin(300 degrees )

Problem

sin(300)

Solution

1. Identify the reference angle by finding the distance to the nearest x-axis. Since 300 is in the fourth quadrant, subtract it from 360

360−300=60

2. Determine the sign of the sine function in the fourth quadrant. In the fourth quadrant, the y-coordinates are negative, so sin(θ) is negative.

sin(300)=−sin(60)

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

sin(60)=√(,3)/2

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

sin(300)=−√(,3)/2

Final Answer

sin(300)=−√(,3)/2

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